61607069172792 has 512 divisors, whose sum is σ = 210131470080000. Its totient is φ = 16456664125440.

The previous prime is 61607069172791. The next prime is 61607069172851. The reversal of 61607069172792 is 29727196070616.

61607069172792 is a `hidden beast` number, since 6 + 1 + 607 + 0 + 6 + 9 + 17 + 2 + 7 + 9 + 2 = 666.

It is a super-2 number, since 2×61607069172792² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61607069172791) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 438261334 + ... + 438401882.

It is an arithmetic number, because the mean of its divisors is an integer number (410413027500).

Almost surely, 2^{61607069172792} 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 61607069172792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105065735040000).

61607069172792 is an abundant number, since it is smaller than the sum of its proper divisors (148524400907208).

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

61607069172792 is a wasteful number, since it uses less digits than its factorization.

61607069172792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141228 (or 141218 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 61607069172792 in words is "sixty-one trillion, six hundred seven billion, sixty-nine million, one hundred seventy-two thousand, seven hundred ninety-two".