6201745920 has 480 divisors, whose sum is σ = 23389217280. Its totient is φ = 1512898560.

The previous prime is 6201745919. The next prime is 6201745933. The reversal of 6201745920 is 295471026.

6201745920 is a `hidden beast` number, since 62 + 0 + 1 + 7 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13570332 + ... + 13570788.

It is an arithmetic number, because the mean of its divisors is an integer number (48727536).

Almost surely, 2^6201745920 is an apocalyptic number.

6201745920 is a gapful number since it is divisible by the number (60) 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 6201745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11694608640).

6201745920 is an abundant number, since it is smaller than the sum of its proper divisors (17187471360).

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

6201745920 is a wasteful number, since it uses less digits than its factorization.

6201745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6201745920 is about 78751.1645628177. The cubic root of 6201745920 is about 1837.2629753965.

The spelling of 6201745920 in words is "six billion, two hundred one million, seven hundred forty-five thousand, nine hundred twenty".