97567842960 has 480 divisors, whose sum is σ = 398030810112. Its totient is φ = 20908523520.

The previous prime is 97567842917. The next prime is 97567842979. The reversal of 97567842960 is 6924876579.

97567842960 is a `hidden beast` number, since 9 + 7 + 567 + 8 + 4 + 2 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23731305 + ... + 23735415.

Almost surely, 2^97567842960 is an apocalyptic number.

97567842960 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 97567842960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199015405056).

97567842960 is an abundant number, since it is smaller than the sum of its proper divisors (300462967152).

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

97567842960 is a wasteful number, since it uses less digits than its factorization.

97567842960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4431 (or 4422 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 97567842960 in words is "ninety-seven billion, five hundred sixty-seven million, eight hundred forty-two thousand, nine hundred sixty".