61982068980 has 384 divisors, whose sum is σ = 199881916416. Its totient is φ = 14241484800.

The previous prime is 61982068943. The next prime is 61982068997. The reversal of 61982068980 is 8986028916.

It is a self number, because there is not a number n which added to its sum of digits gives 61982068980.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102111837 + ... + 102112443.

It is an arithmetic number, because the mean of its divisors is an integer number (520525824).

Almost surely, 2^61982068980 is an apocalyptic number.

61982068980 is a gapful number since it is divisible by the number (60) 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 61982068980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99940958208).

61982068980 is an abundant number, since it is smaller than the sum of its proper divisors (137899847436).

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

61982068980 is a wasteful number, since it uses less digits than its factorization.

61982068980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 57.

The spelling of 61982068980 in words is "sixty-one billion, nine hundred eighty-two million, sixty-eight thousand, nine hundred eighty".