9625076812800 has 1848 divisors, whose sum is σ = 37500199452672. Its totient is φ = 2445520896000.

The previous prime is 9625076812781. The next prime is 9625076812807. The reversal of 9625076812800 is 82186705269.

9625076812800 is a `hidden beast` number, since 9 + 6 + 2 + 507 + 6 + 8 + 128 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9625076812807) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 73473868735 + ... + 73473868865.

Almost surely, 2^{9625076812800} is an apocalyptic number.

9625076812800 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 9625076812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18750099726336).

9625076812800 is an abundant number, since it is smaller than the sum of its proper divisors (27875122639872).

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

9625076812800 is a wasteful number, since it uses less digits than its factorization.

9625076812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 9625076812800 in words is "nine trillion, six hundred twenty-five billion, seventy-six million, eight hundred twelve thousand, eight hundred".