9645749568 has 840 divisors, whose sum is σ = 37671524352. Its totient is φ = 2414168064.

The previous prime is 9645749567. The next prime is 9645749569. The reversal of 9645749568 is 8659475469.

9645749568 is a `hidden beast` number, since 9 + 6 + 4 + 574 + 9 + 56 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (9645749567) and next prime (9645749569).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (65318400) is a multiple of the sum of its prime divisors (175).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9645749563) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 75950721 + ... + 75950847.

Almost surely, 2^9645749568 is an apocalyptic number.

9645749568 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9645749568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18835762176).

9645749568 is an abundant number, since it is smaller than the sum of its proper divisors (28025774784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9645749568 is a wasteful number, since it uses less digits than its factorization.

9645749568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 175 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The square root of 9645749568 is about 98212.7770099186. Note that the first 3 decimals coincide. The cubic root of 9645749568 is about 2128.6879124073.

The spelling of 9645749568 in words is "nine billion, six hundred forty-five million, seven hundred forty-nine thousand, five hundred sixty-eight".