61756251264 has 192 divisors, whose sum is σ = 185963464440. Its totient is φ = 19650428928.

The previous prime is 61756251229. The next prime is 61756251299. The reversal of 61756251264 is 46215265716.

61756251264 is a `hidden beast` number, since 6 + 1 + 7 + 5 + 625 + 12 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (61756251229) and next prime (61756251299).

It can be written as a sum of positive squares in 4 ways, for example, as 58955724864 + 2800526400 = 242808^2 + 52920^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2245404 + ... + 2272740.

Almost surely, 2^61756251264 is an apocalyptic number.

61756251264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61756251264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92981732220).

61756251264 is an abundant number, since it is smaller than the sum of its proper divisors (124207213176).

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

61756251264 is a wasteful number, since it uses less digits than its factorization.

61756251264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27447 (or 27432 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 61756251264 in words is "sixty-one billion, seven hundred fifty-six million, two hundred fifty-one thousand, two hundred sixty-four".