97425676800 has 960 divisors, whose sum is σ = 387558230400. Its totient is φ = 23887872000.

The previous prime is 97425676769. The next prime is 97425676811. The reversal of 97425676800 is 867652479.

97425676800 is a `hidden beast` number, since 9 + 74 + 2 + 567 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 242956600 + ... + 242957000.

It is an arithmetic number, because the mean of its divisors is an integer number (403706490).

Almost surely, 2^97425676800 is an apocalyptic number.

97425676800 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 97425676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193779115200).

97425676800 is an abundant number, since it is smaller than the sum of its proper divisors (290132553600).

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

97425676800 is a wasteful number, since it uses less digits than its factorization.

97425676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 97425676800 in words is "ninety-seven billion, four hundred twenty-five million, six hundred seventy-six thousand, eight hundred".