61786838360 has 128 divisors (see below), whose sum is σ = 152842152960. Its totient is φ = 22341312000.

The previous prime is 61786838303. The next prime is 61786838363. The reversal of 61786838360 is 6383868716.

It is a happy number.

It is a super-2 number, since 2×61786838360² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61786838296 and 61786838305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61786838363) 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, 5569379 + ... + 5580461.

It is an arithmetic number, because the mean of its divisors is an integer number (1194079320).

Almost surely, 2^61786838360 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 61786838360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76421076480).

61786838360 is an abundant number, since it is smaller than the sum of its proper divisors (91055314600).

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

61786838360 is a wasteful number, since it uses less digits than its factorization.

61786838360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11329 (or 11325 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 56.

The spelling of 61786838360 in words is "sixty-one billion, seven hundred eighty-six million, eight hundred thirty-eight thousand, three hundred sixty".