61000038792 has 512 divisors, whose sum is σ = 225657446400. Its totient is φ = 14903792640.

The previous prime is 61000038773. The next prime is 61000038851. The reversal of 61000038792 is 29783000016.

61000038792 is a `hidden beast` number, since 610 + 0 + 0 + 0 + 38 + 7 + 9 + 2 = 666.

61000038792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34211133 + ... + 34212915.

It is an arithmetic number, because the mean of its divisors is an integer number (440737200).

Almost surely, 2^61000038792 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 61000038792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112828723200).

61000038792 is an abundant number, since it is smaller than the sum of its proper divisors (164657407608).

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

61000038792 is a wasteful number, since it uses less digits than its factorization.

61000038792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 61000038792 in words is "sixty-one billion, thirty-eight thousand, seven hundred ninety-two".