6009520942656 has 1260 divisors, whose sum is σ = 23312493089424. Its totient is φ = 1524278891520.

The previous prime is 6009520942643. The next prime is 6009520942739. The reversal of 6009520942656 is 6562490259006.

6009520942656 is a `hidden beast` number, since 6 + 0 + 0 + 9 + 5 + 209 + 426 + 5 + 6 = 666.

It is a super-2 number, since 2×6009520942656² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1321642975 + ... + 1321647521.

Almost surely, 2^{6009520942656} is an apocalyptic number.

6009520942656 is a gapful number since it is divisible by the number (66) 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 6009520942656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11656246544712).

6009520942656 is an abundant number, since it is smaller than the sum of its proper divisors (17302972146768).

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

6009520942656 is a wasteful number, since it uses less digits than its factorization.

6009520942656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4650 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 6009520942656 in words is "six trillion, nine billion, five hundred twenty million, nine hundred forty-two thousand, six hundred fifty-six".