61637175104 has 56 divisors (see below), whose sum is σ = 125413864488. Its totient is φ = 30044252160.

The previous prime is 61637175059. The next prime is 61637175109. The reversal of 61637175104 is 40157173616.

61637175104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 57760000 + 61579415104 = 7600^2 + 248152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61637175109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 474674 + ... + 590414.

Almost surely, 2^61637175104 is an apocalyptic number.

61637175104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61637175104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62706932244).

61637175104 is an abundant number, since it is smaller than the sum of its proper divisors (63776689384).

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

61637175104 is a wasteful number, since it uses less digits than its factorization.

61637175104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115963 (or 115953 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

The spelling of 61637175104 in words is "sixty-one billion, six hundred thirty-seven million, one hundred seventy-five thousand, one hundred four".