61882716672 has 480 divisors, whose sum is σ = 220742121600. Its totient is φ = 16291528704.

The previous prime is 61882716629. The next prime is 61882716683. The reversal of 61882716672 is 27661728816.

61882716672 is a `hidden beast` number, since 618 + 8 + 2 + 7 + 16 + 6 + 7 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 22674604 + ... + 22677332.

It is an arithmetic number, because the mean of its divisors is an integer number (459879420).

Almost surely, 2^61882716672 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 61882716672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110371060800).

61882716672 is an abundant number, since it is smaller than the sum of its proper divisors (158859404928).

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

61882716672 is a wasteful number, since it uses less digits than its factorization.

61882716672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2797 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 61882716672 in words is "sixty-one billion, eight hundred eighty-two million, seven hundred sixteen thousand, six hundred seventy-two".