60820574976 has 486 divisors, whose sum is σ = 212112717180. Its totient is φ = 17353792512.

The previous prime is 60820574959. The next prime is 60820574999. The reversal of 60820574976 is 67947502806.

60820574976 is a `hidden beast` number, since 60 + 8 + 2 + 0 + 574 + 9 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (486).

It is a super-3 number, since 3×60820574976³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 82300815 + ... + 82301553.

Almost surely, 2^60820574976 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 60820574976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106056358590).

60820574976 is an abundant number, since it is smaller than the sum of its proper divisors (151292142204).

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

60820574976 is an frugal number, since it uses more digits than its factorization.

60820574976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 60820574976 in words is "sixty billion, eight hundred twenty million, five hundred seventy-four thousand, nine hundred seventy-six".