61710686856 has 384 divisors, whose sum is σ = 210350649600. Its totient is φ = 15911976960.

The previous prime is 61710686803. The next prime is 61710686861. The reversal of 61710686856 is 65868601716.

61710686856 is a `hidden beast` number, since 617 + 10 + 6 + 8 + 6 + 8 + 5 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56562871 + ... + 56563961.

It is an arithmetic number, because the mean of its divisors is an integer number (547788150).

Almost surely, 2^61710686856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61710686856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105175324800).

61710686856 is an abundant number, since it is smaller than the sum of its proper divisors (148639962744).

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

61710686856 is a wasteful number, since it uses less digits than its factorization.

61710686856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 61710686856 in words is "sixty-one billion, seven hundred ten million, six hundred eighty-six thousand, eight hundred fifty-six".