60937680365856 has 288 divisors, whose sum is σ = 198423680652288. Its totient is φ = 17377724136960.

The previous prime is 60937680365843. The next prime is 60937680365911. The reversal of 60937680365856 is 65856308673906.

60937680365856 is a `hidden beast` number, since 6 + 0 + 9 + 3 + 7 + 6 + 8 + 0 + 36 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×60937680365856² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2334137955 + ... + 2334164061.

It is an arithmetic number, because the mean of its divisors is an integer number (688971113376).

Almost surely, 2^{60937680365856} 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 60937680365856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99211840326144).

60937680365856 is an abundant number, since it is smaller than the sum of its proper divisors (137486000286432).

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

60937680365856 is a wasteful number, since it uses less digits than its factorization.

60937680365856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28284 (or 28273 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 60937680365856 in words is "sixty trillion, nine hundred thirty-seven billion, six hundred eighty million, three hundred sixty-five thousand, eight hundred fifty-six".