61940812320 has 768 divisors, whose sum is σ = 237758976000. Its totient is φ = 15018393600.

The previous prime is 61940812309. The next prime is 61940812327. The reversal of 61940812320 is 2321804916.

61940812320 is a `hidden beast` number, since 6 + 19 + 408 + 1 + 232 + 0 = 666.

It is a super-2 number, since 2×61940812320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (61940812327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 159230686 + ... + 159231074.

It is an arithmetic number, because the mean of its divisors is an integer number (309582000).

Almost surely, 2^61940812320 is an apocalyptic number.

61940812320 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 61940812320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118879488000).

61940812320 is an abundant number, since it is smaller than the sum of its proper divisors (175818163680).

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

61940812320 is a wasteful number, since it uses less digits than its factorization.

61940812320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 61940812320 in words is "sixty-one billion, nine hundred forty million, eight hundred twelve thousand, three hundred twenty".