61967596320 has 384 divisors, whose sum is σ = 255870074880. Its totient is φ = 13706910720.

The previous prime is 61967596309. The next prime is 61967596321. The reversal of 61967596320 is 2369576916.

61967596320 is a `hidden beast` number, since 6 + 19 + 6 + 7 + 596 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (61967596321) 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 63 ways as a sum of consecutive naturals, for example, 904389 + ... + 970491.

It is an arithmetic number, because the mean of its divisors is an integer number (666328320).

Almost surely, 2^61967596320 is an apocalyptic number.

61967596320 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 61967596320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127935037440).

61967596320 is an abundant number, since it is smaller than the sum of its proper divisors (193902478560).

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

61967596320 is a wasteful number, since it uses less digits than its factorization.

61967596320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66165 (or 66151 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 61967596320 in words is "sixty-one billion, nine hundred sixty-seven million, five hundred ninety-six thousand, three hundred twenty".