97724594880 has 420 divisors, whose sum is σ = 382110904560. Its totient is φ = 23690050560.

The previous prime is 97724594861. The next prime is 97724594939. The reversal of 97724594880 is 8849542779.

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, 3120741 + ... + 3151899.

It is an arithmetic number, because the mean of its divisors is an integer number (909787868).

Almost surely, 2^97724594880 is an apocalyptic number.

97724594880 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 97724594880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191055452280).

97724594880 is an abundant number, since it is smaller than the sum of its proper divisors (284386309680).

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

97724594880 is a wasteful number, since it uses less digits than its factorization.

97724594880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31210 (or 31180 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 97724594880 in words is "ninety-seven billion, seven hundred twenty-four million, five hundred ninety-four thousand, eight hundred eighty".