61787196800 has 384 divisors, whose sum is σ = 182472696000. Its totient is φ = 20652441600.

The previous prime is 61787196799. The next prime is 61787196833. The reversal of 61787196800 is 869178716.

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 47 ways as a sum of consecutive naturals, for example, 45000914 + ... + 45002286.

Almost surely, 2^61787196800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61787196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91236348000).

61787196800 is an abundant number, since it is smaller than the sum of its proper divisors (120685499200).

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

61787196800 is a wasteful number, since it uses less digits than its factorization.

61787196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 53.

The spelling of 61787196800 in words is "sixty-one billion, seven hundred eighty-seven million, one hundred ninety-six thousand, eight hundred".