61938864960 has 224 divisors, whose sum is σ = 229977403392. Its totient is φ = 13828147200.

The previous prime is 61938864919. The next prime is 61938864971. The reversal of 61938864960 is 6946883916.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 61938864894 and 61938864903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181785 + ... + 396135.

Almost surely, 2^61938864960 is an apocalyptic number.

61938864960 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 61938864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114988701696).

61938864960 is an abundant number, since it is smaller than the sum of its proper divisors (168038538432).

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

61938864960 is a wasteful number, since it uses less digits than its factorization.

61938864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214421 (or 214411 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 61938864960 in words is "sixty-one billion, nine hundred thirty-eight million, eight hundred sixty-four thousand, nine hundred sixty".