61708587922800 has 3600 divisors, whose sum is σ = 291115232432640. Its totient is φ = 12420894689280.

The previous prime is 61708587922781. The next prime is 61708587922873. The reversal of 61708587922800 is 822978580716.

61708587922800 is a `hidden beast` number, since 617 + 0 + 8 + 5 + 8 + 7 + 9 + 2 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 162819493011 + ... + 162819493389.

Almost surely, 2^{61708587922800} is an apocalyptic number.

61708587922800 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 61708587922800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145557616216320).

61708587922800 is an abundant number, since it is smaller than the sum of its proper divisors (229406644509840).

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

61708587922800 is a wasteful number, since it uses less digits than its factorization.

61708587922800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 61708587922800 in words is "sixty-one trillion, seven hundred eight billion, five hundred eighty-seven million, nine hundred twenty-two thousand, eight hundred".