97576634880 has 320 divisors, whose sum is σ = 348933024000. Its totient is φ = 25845350400.

The previous prime is 97576634879. The next prime is 97576634887. The reversal of 97576634880 is 8843667579.

97576634880 is a `hidden beast` number, since 97 + 5 + 7 + 6 + 63 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×97576634880² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97576634887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10432446 + ... + 10441794.

It is an arithmetic number, because the mean of its divisors is an integer number (1090415700).

Almost surely, 2^97576634880 is an apocalyptic number.

97576634880 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 97576634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174466512000).

97576634880 is an abundant number, since it is smaller than the sum of its proper divisors (251356389120).

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

97576634880 is a wasteful number, since it uses less digits than its factorization.

97576634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9532 (or 9510 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 97576634880 in words is "ninety-seven billion, five hundred seventy-six million, six hundred thirty-four thousand, eight hundred eighty".