97709564580480 has 1536 divisors, whose sum is σ = 369826825420800. Its totient is φ = 24342129745920.

The previous prime is 97709564580461. The next prime is 97709564580503. The reversal of 97709564580480 is 8408546590779.

97709564580480 is a `hidden beast` number, since 9 + 7 + 7 + 0 + 9 + 5 + 64 + 5 + 80 + 480 = 666.

It is a super-3 number, since 3×97709564580480³ (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 a junction number, because it is equal to n+sod(n) for n = 97709564580399 and 97709564580408.

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 191 ways as a sum of consecutive naturals, for example, 371519256829 + ... + 371519257091.

It is an arithmetic number, because the mean of its divisors is an integer number (240772672800).

Almost surely, 2^{97709564580480} is an apocalyptic number.

97709564580480 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 97709564580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184913412710400).

97709564580480 is an abundant number, since it is smaller than the sum of its proper divisors (272117260840320).

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

97709564580480 is a wasteful number, since it uses less digits than its factorization.

97709564580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 97709564580480 in words is "ninety-seven trillion, seven hundred nine billion, five hundred sixty-four million, five hundred eighty thousand, four hundred eighty".