9627874401600 has 2688 divisors, whose sum is σ = 44926902272000. Its totient is φ = 1951041945600.

The previous prime is 9627874401599. The next prime is 9627874401611. The reversal of 9627874401600 is 61044787269.

9627874401600 is a `hidden beast` number, since 9 + 6 + 27 + 8 + 7 + 4 + 4 + 0 + 1 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24251572602 + ... + 24251572998.

Almost surely, 2^{9627874401600} is an apocalyptic number.

9627874401600 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 9627874401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22463451136000).

9627874401600 is an abundant number, since it is smaller than the sum of its proper divisors (35299027870400).

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

9627874401600 is a wasteful number, since it uses less digits than its factorization.

9627874401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 9627874401600 in words is "nine trillion, six hundred twenty-seven billion, eight hundred seventy-four million, four hundred one thousand, six hundred".