61934616800 has 72 divisors (see below), whose sum is σ = 172797596496. Its totient is φ = 21234723840.

The previous prime is 61934616761. The next prime is 61934616803. The reversal of 61934616800 is 861643916.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61934616803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5524277 + ... + 5535476.

It is an arithmetic number, because the mean of its divisors is an integer number (2399966618).

Almost surely, 2^61934616800 is an apocalyptic number.

It is an amenable number.

61934616800 is an abundant number, since it is smaller than the sum of its proper divisors (110862979696).

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

61934616800 is a wasteful number, since it uses less digits than its factorization.

61934616800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11059780 (or 11059767 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 61934616800 in words is "sixty-one billion, nine hundred thirty-four million, six hundred sixteen thousand, eight hundred".