61880817600 has 504 divisors, whose sum is σ = 253250139168. Its totient is φ = 14037811200.

The previous prime is 61880817539. The next prime is 61880817601. The reversal of 61880817600 is 671808816.

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61880817601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13807360 + ... + 13811840.

Almost surely, 2^61880817600 is an apocalyptic number.

61880817600 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 61880817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126625069584).

61880817600 is an abundant number, since it is smaller than the sum of its proper divisors (191369321568).

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

61880817600 is a wasteful number, since it uses less digits than its factorization.

61880817600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4653 (or 4635 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 61880817600 in words is "sixty-one billion, eight hundred eighty million, eight hundred seventeen thousand, six hundred".