61677116928 has 720 divisors, whose sum is σ = 219383708544. Its totient is φ = 17244057600.

The previous prime is 61677116923. The next prime is 61677116929. The reversal of 61677116928 is 82961177616.

61677116928 is a `hidden beast` number, since 616 + 7 + 7 + 1 + 16 + 9 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61677116923) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 408457653 + ... + 408457803.

Almost surely, 2^61677116928 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 61677116928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109691854272).

61677116928 is an abundant number, since it is smaller than the sum of its proper divisors (157706591616).

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

61677116928 is an equidigital number, since it uses as much as digits as its factorization.

61677116928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 230 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The spelling of 61677116928 in words is "sixty-one billion, six hundred seventy-seven million, one hundred sixteen thousand, nine hundred twenty-eight".