97680038400 has 1200 divisors, whose sum is σ = 424126110144. Its totient is φ = 21737963520.

The previous prime is 97680038363. The next prime is 97680038413. The reversal of 97680038400 is 483008679.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 312076644 + ... + 312076956.

Almost surely, 2^97680038400 is an apocalyptic number.

97680038400 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 97680038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212063055072).

97680038400 is an abundant number, since it is smaller than the sum of its proper divisors (326446071744).

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

97680038400 is a wasteful number, since it uses less digits than its factorization.

97680038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 97680038400 in words is "ninety-seven billion, six hundred eighty million, thirty-eight thousand, four hundred".