59971632768 has 640 divisors, whose sum is σ = 197274528000. Its totient is φ = 18011455488.

The previous prime is 59971632767. The next prime is 59971632797. The reversal of 59971632768 is 86723617995.

59971632768 is a `hidden beast` number, since 599 + 7 + 1 + 6 + 32 + 7 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (59971632767) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 759134553 + ... + 759134631.

It is an arithmetic number, because the mean of its divisors is an integer number (308241450).

Almost surely, 2^59971632768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59971632768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98637264000).

59971632768 is an abundant number, since it is smaller than the sum of its proper divisors (137302895232).

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

59971632768 is a wasteful number, since it uses less digits than its factorization.

59971632768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 233 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 59971632768 in words is "fifty-nine billion, nine hundred seventy-one million, six hundred thirty-two thousand, seven hundred sixty-eight".