61658796672 has 672 divisors, whose sum is σ = 208773143040. Its totient is φ = 18106260480.

The previous prime is 61658796611. The next prime is 61658796679. The reversal of 61658796672 is 27669785616.

61658796672 is a `hidden beast` number, since 616 + 5 + 8 + 7 + 9 + 6 + 6 + 7 + 2 = 666.

Its product of digits (45722880) is a multiple of the sum of its prime factors (224).

It is not an unprimeable number, because it can be changed into a prime (61658796679) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 485502273 + ... + 485502399.

It is an arithmetic number, because the mean of its divisors is an integer number (310674320).

Almost surely, 2^61658796672 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 61658796672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104386571520).

61658796672 is an abundant number, since it is smaller than the sum of its proper divisors (147114346368).

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

61658796672 is a wasteful number, since it uses less digits than its factorization.

61658796672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 186 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 61658796672 in words is "sixty-one billion, six hundred fifty-eight million, seven hundred ninety-six thousand, six hundred seventy-two".