61776968717376 has 336 divisors, whose sum is σ = 199446484723200. Its totient is φ = 18112309862400.

The previous prime is 61776968717341. The next prime is 61776968717419. The reversal of 61776968717376 is 67371786967716.

61776968717376 is a `hidden beast` number, since 6 + 1 + 7 + 76 + 96 + 87 + 17 + 376 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 61776968717295 and 61776968717304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 928818010 + ... + 928884518.

Almost surely, 2^{61776968717376} is an apocalyptic number.

61776968717376 is a gapful number since it is divisible by the number (66) 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 61776968717376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99723242361600).

61776968717376 is an abundant number, since it is smaller than the sum of its proper divisors (137669516005824).

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

61776968717376 is a wasteful number, since it uses less digits than its factorization.

61776968717376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71298 (or 71285 counting only the distinct ones).

The product of its digits is 4704884352, while the sum is 81.

The spelling of 61776968717376 in words is "sixty-one trillion, seven hundred seventy-six billion, nine hundred sixty-eight million, seven hundred seventeen thousand, three hundred seventy-six".