97600042080 has 576 divisors, whose sum is σ = 363431577600. Its totient is φ = 23770091520.

The previous prime is 97600042073. The next prime is 97600042081. The reversal of 97600042080 is 8024000679.

97600042080 is a `hidden beast` number, since 9 + 7 + 600 + 0 + 42 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97600042081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91299786 + ... + 91300854.

It is an arithmetic number, because the mean of its divisors is an integer number (630957600).

Almost surely, 2^97600042080 is an apocalyptic number.

97600042080 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 97600042080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181715788800).

97600042080 is an abundant number, since it is smaller than the sum of its proper divisors (265831535520).

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

97600042080 is a wasteful number, since it uses less digits than its factorization.

97600042080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 97600042080 in words is "ninety-seven billion, six hundred million, forty-two thousand, eighty".