61505007746256 has 60 divisors (see below), whose sum is σ = 174552944548320. Its totient is φ = 20212913340480.

The previous prime is 61505007746173. The next prime is 61505007746341. The reversal of 61505007746256 is 65264770050516.

It is a happy number.

61505007746256 is a `hidden beast` number, since 6 + 1 + 5 + 0 + 5 + 0 + 0 + 7 + 7 + 4 + 625 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3007863786 + ... + 3007884233.

It is an arithmetic number, because the mean of its divisors is an integer number (2909215742472).

Almost surely, 2^{61505007746256} is an apocalyptic number.

It is an amenable number.

61505007746256 is an abundant number, since it is smaller than the sum of its proper divisors (113047936802064).

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

61505007746256 is a wasteful number, since it uses less digits than its factorization.

61505007746256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6015748104 (or 6015748095 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 61505007746256 in words is "sixty-one trillion, five hundred five billion, seven million, seven hundred forty-six thousand, two hundred fifty-six".