61634540713920 has 112 divisors (see below), whose sum is σ = 195700333495680. Its totient is φ = 16434981630976.

The previous prime is 61634540713909. The next prime is 61634540713943. The reversal of 61634540713920 is 2931704543616.

61634540713920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15964711 + ... + 19445849.

Almost surely, 2^{61634540713920} is an apocalyptic number.

61634540713920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61634540713920 is an abundant number, since it is smaller than the sum of its proper divisors (134065792781760).

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

61634540713920 is a wasteful number, since it uses less digits than its factorization.

61634540713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499602 (or 3499592 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 61634540713920 in words is "sixty-one trillion, six hundred thirty-four billion, five hundred forty million, seven hundred thirteen thousand, nine hundred twenty".