61883625024 has 504 divisors, whose sum is σ = 208265389920. Its totient is φ = 18008220672.

The previous prime is 61883624989. The next prime is 61883625047. The reversal of 61883625024 is 42052638816.

61883625024 is a `hidden beast` number, since 6 + 1 + 8 + 83 + 62 + 502 + 4 = 666.

It is a super-2 number, since 2×61883625024² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105423259 + ... + 105423845.

It is an arithmetic number, because the mean of its divisors is an integer number (413224980).

Almost surely, 2^61883625024 is an apocalyptic number.

61883625024 is a gapful number since it is divisible by the number (64) 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 61883625024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104132694960).

61883625024 is an abundant number, since it is smaller than the sum of its proper divisors (146381764896).

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

61883625024 is a wasteful number, since it uses less digits than its factorization.

61883625024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 61883625024 in words is "sixty-one billion, eight hundred eighty-three million, six hundred twenty-five thousand, twenty-four".