97645328312400 has 2880 divisors, whose sum is σ = 404708608991232. Its totient is φ = 22581504000000.

The previous prime is 97645328312377. The next prime is 97645328312443. The reversal of 97645328312400 is 421382354679.

97645328312400 is a `hidden beast` number, since 9 + 7 + 6 + 4 + 532 + 83 + 1 + 24 + 0 + 0 = 666.

It is a super-2 number, since 2×97645328312400² (a number of 29 digits) contains 22 as substring.

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 575 ways as a sum of consecutive naturals, for example, 389025212275 + ... + 389025212525.

It is a 1-persistent number, because it is pandigital, but 2⋅97645328312400 = 195290656624800 is not.

Almost surely, 2^{97645328312400} is an apocalyptic number.

97645328312400 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 97645328312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202354304495616).

97645328312400 is an abundant number, since it is smaller than the sum of its proper divisors (307063280678832).

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

97645328312400 is a wasteful number, since it uses less digits than its factorization.

97645328312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 97645328312400 in words is "ninety-seven trillion, six hundred forty-five billion, three hundred twenty-eight million, three hundred twelve thousand, four hundred".