61971831072 has 36 divisors (see below), whose sum is σ = 176232395430. Its totient is φ = 20657276928.

The previous prime is 61971831049. The next prime is 61971831107. The reversal of 61971831072 is 27013817916.

61971831072 is a `hidden beast` number, since 619 + 7 + 18 + 3 + 10 + 7 + 2 = 666.

61971831072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 32759552016 + 29212279056 = 180996^2 + 170916^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107589697 + ... + 107590272.

Almost surely, 2^61971831072 is an apocalyptic number.

It is an amenable number.

61971831072 is an abundant number, since it is smaller than the sum of its proper divisors (114260564358).

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

61971831072 is a wasteful number, since it uses less digits than its factorization.

61971831072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215179985 (or 215179974 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 61971831072 in words is "sixty-one billion, nine hundred seventy-one million, eight hundred thirty-one thousand, seventy-two".