61264762695072 has 144 divisors (see below), whose sum is σ = 180623698786440. Its totient is φ = 19674248380416.

The previous prime is 61264762695029. The next prime is 61264762695077. The reversal of 61264762695072 is 27059626746216.

61264762695072 is a `hidden beast` number, since 6 + 1 + 2 + 6 + 4 + 7 + 62 + 69 + 507 + 2 = 666.

61264762695072 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 4 ways, for example, as 45754996891536 + 15509765803536 = 6764244^2 + 3938244^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×61264762695072² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61264762695077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4208673 + ... + 11842400.

Almost surely, 2^{61264762695072} is an apocalyptic number.

It is an amenable number.

61264762695072 is an abundant number, since it is smaller than the sum of its proper divisors (119358936091368).

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

61264762695072 is a wasteful number, since it uses less digits than its factorization.

61264762695072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16051575 (or 16051564 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 61264762695072 in words is "sixty-one trillion, two hundred sixty-four billion, seven hundred sixty-two million, six hundred ninety-five thousand, seventy-two".