61978872384 has 1008 divisors, whose sum is σ = 231358196160. Its totient is φ = 16198963200.

The previous prime is 61978872337. The next prime is 61978872419. The reversal of 61978872384 is 48327887916.

61978872384 is a `hidden beast` number, since 619 + 7 + 8 + 8 + 7 + 2 + 3 + 8 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1999318449 + ... + 1999318479.

It is an arithmetic number, because the mean of its divisors is an integer number (229522020).

Almost surely, 2^61978872384 is an apocalyptic number.

61978872384 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 61978872384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115679098080).

61978872384 is an abundant number, since it is smaller than the sum of its proper divisors (169379323776).

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

61978872384 is a wasteful number, since it uses less digits than its factorization.

61978872384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 89 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 61978872384 in words is "sixty-one billion, nine hundred seventy-eight million, eight hundred seventy-two thousand, three hundred eighty-four".