61964517888 has 720 divisors, whose sum is σ = 230054400576. Its totient is φ = 16303472640.

The previous prime is 61964517869. The next prime is 61964517893. The reversal of 61964517888 is 88871546916.

61964517888 is a `hidden beast` number, since 619 + 6 + 4 + 5 + 1 + 7 + 8 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147183918 + ... + 147184338.

Almost surely, 2^61964517888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61964517888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115027200288).

61964517888 is an abundant number, since it is smaller than the sum of its proper divisors (168089882688).

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

61964517888 is an equidigital number, since it uses as much as digits as its factorization.

61964517888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 446 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The spelling of 61964517888 in words is "sixty-one billion, nine hundred sixty-four million, five hundred seventeen thousand, eight hundred eighty-eight".