61005732800 has 42 divisors (see below), whose sum is σ = 150112235208. Its totient is φ = 24402292480.

The previous prime is 61005732791. The next prime is 61005732829. The reversal of 61005732800 is 823750016.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 19062692 + ... + 19065891.

Almost surely, 2^61005732800 is an apocalyptic number.

It is an amenable number.

61005732800 is an abundant number, since it is smaller than the sum of its proper divisors (89106502408).

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

61005732800 is a wasteful number, since it uses less digits than its factorization.

61005732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38128605 (or 38128590 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 61005732800 in words is "sixty-one billion, five million, seven hundred thirty-two thousand, eight hundred".