61886847960 has 640 divisors, whose sum is σ = 256676428800. Its totient is φ = 13060776960.

The previous prime is 61886847959. The next prime is 61886848007. The reversal of 61886847960 is 6974868816.

61886847960 is a `hidden beast` number, since 618 + 8 + 6 + 8 + 4 + 7 + 9 + 6 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 15125515 + ... + 15129605.

It is an arithmetic number, because the mean of its divisors is an integer number (401056920).

Almost surely, 2^61886847960 is an apocalyptic number.

61886847960 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 61886847960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128338214400).

61886847960 is an abundant number, since it is smaller than the sum of its proper divisors (194789580840).

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

61886847960 is a wasteful number, since it uses less digits than its factorization.

61886847960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 61886847960 in words is "sixty-one billion, eight hundred eighty-six million, eight hundred forty-seven thousand, nine hundred sixty".