9792057600 has 540 divisors, whose sum is σ = 39017586916. Its totient is φ = 2408693760.

The previous prime is 9792057589. The next prime is 9792057617. The reversal of 9792057600 is 67502979.

9792057600 is a `hidden beast` number, since 9 + 79 + 2 + 0 + 576 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5308416 + 9786749184 = 2304^2 + 98928^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6738474 + ... + 6739926.

Almost surely, 2^9792057600 is an apocalyptic number.

9792057600 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 9792057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19508793458).

9792057600 is an abundant number, since it is smaller than the sum of its proper divisors (29225529316).

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

9792057600 is a wasteful number, since it uses less digits than its factorization.

9792057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 9792057600 is about 98954.8260571459. The cubic root of 9792057600 is about 2139.3966913748.

The spelling of 9792057600 in words is "nine billion, seven hundred ninety-two million, fifty-seven thousand, six hundred".