736968960 has 864 divisors, whose sum is σ = 3392712960. Its totient is φ = 143327232.

The previous prime is 736968949. The next prime is 736968961. The reversal of 736968960 is 69869637.

It is a happy number.

It is a super-3 number, since 3×736968960³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 736968897 and 736968906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (736968961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19918062 + ... + 19918098.

Almost surely, 2^736968960 is an apocalyptic number.

736968960 is a gapful number since it is divisible by the number (70) 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 736968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696356480).

736968960 is an abundant number, since it is smaller than the sum of its proper divisors (2655744000).

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

736968960 is a wasteful number, since it uses less digits than its factorization.

736968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 736968960 is about 27147.1722284292. The cubic root of 736968960 is about 903.2675299927.

The spelling of 736968960 in words is "seven hundred thirty-six million, nine hundred sixty-eight thousand, nine hundred sixty".