61635931344 has 240 divisors, whose sum is σ = 195811883904. Its totient is φ = 18653068800.

The previous prime is 61635931321. The next prime is 61635931373. The reversal of 61635931344 is 44313953616.

It is a happy number.

61635931344 is a `hidden beast` number, since 6 + 1 + 6 + 3 + 593 + 13 + 44 = 666.

61635931344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 61635931344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3073189 + ... + 3093179.

Almost surely, 2^61635931344 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 61635931344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97905941952).

61635931344 is an abundant number, since it is smaller than the sum of its proper divisors (134175952560).

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

61635931344 is a wasteful number, since it uses less digits than its factorization.

61635931344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20088 (or 20070 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 61635931344 in words is "sixty-one billion, six hundred thirty-five million, nine hundred thirty-one thousand, three hundred forty-four".