9627897904560 has 2560 divisors, whose sum is σ = 40599641456640. Its totient is φ = 2075856076800.

The previous prime is 9627897904517. The next prime is 9627897904609. The reversal of 9627897904560 is 654097987269.

9627897904560 is a `hidden beast` number, since 9 + 6 + 2 + 7 + 89 + 7 + 90 + 456 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 30371917522 + ... + 30371917838.

It is an arithmetic number, because the mean of its divisors is an integer number (15859234944).

Almost surely, 2^{9627897904560} is an apocalyptic number.

9627897904560 is a gapful number since it is divisible by the number (90) 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 9627897904560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20299820728320).

9627897904560 is an abundant number, since it is smaller than the sum of its proper divisors (30971743552080).

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

9627897904560 is a wasteful number, since it uses less digits than its factorization.

9627897904560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 9627897904560 in words is "nine trillion, six hundred twenty-seven billion, eight hundred ninety-seven million, nine hundred four thousand, five hundred sixty".