61725844800 has 168 divisors, whose sum is σ = 225013723200. Its totient is φ = 16460213760.

The previous prime is 61725844757. The next prime is 61725844853. The reversal of 61725844800 is 844852716.

61725844800 is a `hidden beast` number, since 61 + 7 + 2 + 584 + 4 + 8 + 0 + 0 = 666.

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 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 23 ways as a sum of consecutive naturals, for example, 671220 + ... + 757619.

It is an arithmetic number, because the mean of its divisors is an integer number (1339367400).

Almost surely, 2^61725844800 is an apocalyptic number.

61725844800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61725844800 is an abundant number, since it is smaller than the sum of its proper divisors (163287878400).

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

61725844800 is a wasteful number, since it uses less digits than its factorization.

61725844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428870 (or 1428849 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 61725844800 in words is "sixty-one billion, seven hundred twenty-five million, eight hundred forty-four thousand, eight hundred".