61636993824 has 96 divisors (see below), whose sum is σ = 185016738816. Its totient is φ = 17600497920.

The previous prime is 61636993807. The next prime is 61636993837. The reversal of 61636993824 is 42839963616.

61636993824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1191669 + ... + 1242315.

It is an arithmetic number, because the mean of its divisors is an integer number (1927257696).

Almost surely, 2^61636993824 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 61636993824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92508369408).

61636993824 is an abundant number, since it is smaller than the sum of its proper divisors (123379744992).

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

61636993824 is a wasteful number, since it uses less digits than its factorization.

61636993824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52478 (or 52470 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 57.

The spelling of 61636993824 in words is "sixty-one billion, six hundred thirty-six million, nine hundred ninety-three thousand, eight hundred twenty-four".