97600956480 has 280 divisors, whose sum is σ = 352881026520. Its totient is φ = 25599836160.

The previous prime is 97600956469. The next prime is 97600956487. The reversal of 97600956480 is 8465900679.

97600956480 is a `hidden beast` number, since 9 + 76 + 0 + 0 + 9 + 564 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11601874944 + 85999081536 = 107712^2 + 293256^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (97600956487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1550256 + ... + 1611984.

Almost surely, 2^97600956480 is an apocalyptic number.

97600956480 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 97600956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176440513260).

97600956480 is an abundant number, since it is smaller than the sum of its proper divisors (255280070040).

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

97600956480 is a wasteful number, since it uses less digits than its factorization.

97600956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61819 (or 61800 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 97600956480 in words is "ninety-seven billion, six hundred million, nine hundred fifty-six thousand, four hundred eighty".