97708032000 has 1200 divisors, whose sum is σ = 395846330880. Its totient is φ = 23887872000.

The previous prime is 97708031987. The next prime is 97708032029. The reversal of 97708032000 is 23080779.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3151871985 + ... + 3151872015.

Almost surely, 2^97708032000 is an apocalyptic number.

97708032000 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 97708032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197923165440).

97708032000 is an abundant number, since it is smaller than the sum of its proper divisors (298138298880).

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

97708032000 is an equidigital number, since it uses as much as digits as its factorization.

97708032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 97708032000 in words is "ninety-seven billion, seven hundred eight million, thirty-two thousand".