97641369000 has 960 divisors, whose sum is σ = 403668167760. Its totient is φ = 21946982400.

The previous prime is 97641368971. The next prime is 97641369017. The reversal of 97641369000 is 96314679.

It can be written as a sum of positive squares in 8 ways, for example, as 861892164 + 96779476836 = 29358^2 + 311094^2 .

It is a super-2 number, since 2×97641369000² (a number of 23 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 289736832 + ... + 289737168.

Almost surely, 2^97641369000 is an apocalyptic number.

97641369000 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 97641369000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201834083880).

97641369000 is an abundant number, since it is smaller than the sum of its proper divisors (306026798760).

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

97641369000 is a wasteful number, since it uses less digits than its factorization.

97641369000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 97641369000 in words is "ninety-seven billion, six hundred forty-one million, three hundred sixty-nine thousand".