61856976384 has 240 divisors, whose sum is σ = 214767146880. Its totient is φ = 16743075840.

The previous prime is 61856976371. The next prime is 61856976413. The reversal of 61856976384 is 48367965816.

61856976384 is a `hidden beast` number, since 6 + 1 + 8 + 569 + 7 + 63 + 8 + 4 = 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 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, 562399 + ... + 663329.

It is an arithmetic number, because the mean of its divisors is an integer number (894863112).

Almost surely, 2^61856976384 is an apocalyptic number.

61856976384 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 61856976384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107383573440).

61856976384 is an abundant number, since it is smaller than the sum of its proper divisors (152910170496).

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

61856976384 is a wasteful number, since it uses less digits than its factorization.

61856976384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100981 (or 100962 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 61856976384 in words is "sixty-one billion, eight hundred fifty-six million, nine hundred seventy-six thousand, three hundred eighty-four".