61634564088 has 128 divisors (see below), whose sum is σ = 166058035200. Its totient is φ = 19016662016.

The previous prime is 61634564087. The next prime is 61634564093. The reversal of 61634564088 is 88046543616.

It is a self number, because there is not a number n which added to its sum of digits gives 61634564088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61634564087) 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, 2295670 + ... + 2322362.

It is an arithmetic number, because the mean of its divisors is an integer number (1297328400).

Almost surely, 2^61634564088 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 61634564088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83029017600).

61634564088 is an abundant number, since it is smaller than the sum of its proper divisors (104423471112).

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

61634564088 is a wasteful number, since it uses less digits than its factorization.

61634564088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26861 (or 26857 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 61634564088 in words is "sixty-one billion, six hundred thirty-four million, five hundred sixty-four thousand, eighty-eight".