61979930880 has 288 divisors, whose sum is σ = 227237203200. Its totient is φ = 14103576576.

The previous prime is 61979930867. The next prime is 61979930897. The reversal of 61979930880 is 8803997916.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6150486 + ... + 6160554.

Almost surely, 2^61979930880 is an apocalyptic number.

61979930880 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 61979930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113618601600).

61979930880 is an abundant number, since it is smaller than the sum of its proper divisors (165257272320).

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

61979930880 is a wasteful number, since it uses less digits than its factorization.

61979930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10329 (or 10315 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 60.

The spelling of 61979930880 in words is "sixty-one billion, nine hundred seventy-nine million, nine hundred thirty thousand, eight hundred eighty".