61976011968 has 672 divisors, whose sum is σ = 209131034112. Its totient is φ = 17396121600.

The previous prime is 61976011963. The next prime is 61976011997. The reversal of 61976011968 is 86911067916.

It is a happy number.

61976011968 is a `hidden beast` number, since 6 + 19 + 7 + 601 + 19 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (61976011963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 473099263 + ... + 473099393.

It is an arithmetic number, because the mean of its divisors is an integer number (311206896).

Almost surely, 2^61976011968 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 61976011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104565517056).

61976011968 is an abundant number, since it is smaller than the sum of its proper divisors (147155022144).

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

61976011968 is a wasteful number, since it uses less digits than its factorization.

61976011968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 61976011968 in words is "sixty-one billion, nine hundred seventy-six million, eleven thousand, nine hundred sixty-eight".