61888406976 has 672 divisors, whose sum is σ = 215142153408. Its totient is φ = 16792289280.

The previous prime is 61888406947. The next prime is 61888407011. The reversal of 61888406976 is 67960488816.

61888406976 is a `hidden beast` number, since 61 + 8 + 88 + 406 + 97 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211223086 + ... + 211223378.

It is an arithmetic number, because the mean of its divisors is an integer number (320152014).

Almost surely, 2^61888406976 is an apocalyptic number.

61888406976 is a gapful number since it is divisible by the number (66) 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 61888406976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107571076704).

61888406976 is an abundant number, since it is smaller than the sum of its proper divisors (153253746432).

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

61888406976 is a wasteful number, since it uses less digits than its factorization.

61888406976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 416 counting only the distinct ones).

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

It can be divided in two parts, 61888 and 406976, that added together give a palindrome (468864).

The spelling of 61888406976 in words is "sixty-one billion, eight hundred eighty-eight million, four hundred six thousand, nine hundred seventy-six".