61395749775936 has 105 divisors (see below), whose sum is σ = 181997908240819. Its totient is φ = 20465061872256.

The previous prime is 61395749775901. The next prime is 61395749775961. The reversal of 61395749775936 is 63957794759316.

The square root of 61395749775936 is 7835544.

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

61395749775936 is a `hidden beast` number, since 6 + 1 + 3 + 9 + 57 + 497 + 75 + 9 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

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, 564104755 + ... + 564213581.

Almost surely, 2^{61395749775936} is an apocalyptic number.

61395749775936 is the 7835544-th square number.

It is an amenable number.

61395749775936 is an abundant number, since it is smaller than the sum of its proper divisors (120602158464883).

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

61395749775936 is an frugal number, since it uses more digits than its factorization.

61395749775936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217678 (or 108832 counting only the distinct ones).

The product of its digits is 8101522800, while the sum is 81.

61395749775936 divided by its sum of digits (81) gives a square (757972219456 = 870616²).

The spelling of 61395749775936 in words is "sixty-one trillion, three hundred ninety-five billion, seven hundred forty-nine million, seven hundred seventy-five thousand, nine hundred thirty-six".