97409817872640 has 2304 divisors, whose sum is σ = 440870934282240. Its totient is φ = 19812123279360.

The previous prime is 97409817872611. The next prime is 97409817872651. The reversal of 97409817872640 is 4627871890479.

97409817872640 is a `hidden beast` number, since 9 + 7 + 409 + 8 + 178 + 7 + 2 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×97409817872640³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27005769717 + ... + 27005773323.

Almost surely, 2^{97409817872640} is an apocalyptic number.

97409817872640 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 97409817872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220435467141120).

97409817872640 is an abundant number, since it is smaller than the sum of its proper divisors (343461116409600).

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

97409817872640 is a wasteful number, since it uses less digits than its factorization.

97409817872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 97409817872640 in words is "ninety-seven trillion, four hundred nine billion, eight hundred seventeen million, eight hundred seventy-two thousand, six hundred forty".