61980085764 has 45 divisors (see below), whose sum is σ = 162039902871. Its totient is φ = 20658534840.

The previous prime is 61980085757. The next prime is 61980085799. The reversal of 61980085764 is 46758008916.

The square root of 61980085764 is 248958.

It is a perfect power (a square), and thus also a powerful number.

61980085764 is a `hidden beast` number, since 61 + 9 + 8 + 0 + 0 + 8 + 576 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61980085764.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4474329 + ... + 4488159.

Almost surely, 2^61980085764 is an apocalyptic number.

61980085764 is the 248958-th square number.

It is an amenable number.

61980085764 is an abundant number, since it is smaller than the sum of its proper divisors (100059817107).

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

61980085764 is an frugal number, since it uses more digits than its factorization.

61980085764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27678 (or 13836 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 61980085764 in words is "sixty-one billion, nine hundred eighty million, eighty-five thousand, seven hundred sixty-four".