97724880000 has 960 divisors, whose sum is σ = 398418340320. Its totient is φ = 23639040000.

The previous prime is 97724879977. The next prime is 97724880007. The reversal of 97724880000 is 8842779.

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 (45).

It is not an unprimeable number, because it can be changed into a prime (97724880007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 213839772 + ... + 213840228.

Almost surely, 2^97724880000 is an apocalyptic number.

97724880000 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 97724880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199209170160).

97724880000 is an abundant number, since it is smaller than the sum of its proper divisors (300693460320).

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

97724880000 is an equidigital number, since it uses as much as digits as its factorization.

97724880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 97724880000 in words is "ninety-seven billion, seven hundred twenty-four million, eight hundred eighty thousand".