61634817720784 has 160 divisors (see below), whose sum is σ = 154056777949440. Its totient is φ = 23179679846400.

The previous prime is 61634817720781. The next prime is 61634817720811. The reversal of 61634817720784 is 48702771843616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61634817720781) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143161524 + ... + 143591404.

It is an arithmetic number, because the mean of its divisors is an integer number (962854862184).

Almost surely, 2^{61634817720784} 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 61634817720784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77028388974720).

61634817720784 is an abundant number, since it is smaller than the sum of its proper divisors (92421960228656).

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

61634817720784 is a wasteful number, since it uses less digits than its factorization.

61634817720784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433949 (or 433943 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 64.

The spelling of 61634817720784 in words is "sixty-one trillion, six hundred thirty-four billion, eight hundred seventeen million, seven hundred twenty thousand, seven hundred eighty-four".