61361786880 has 312 divisors, whose sum is σ = 219576464640. Its totient is φ = 15833825280.

The previous prime is 61361786869. The next prime is 61361786881. The reversal of 61361786880 is 8868716316.

61361786880 is a `hidden beast` number, since 6 + 13 + 617 + 8 + 6 + 8 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (61361786881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5708551 + ... + 5719289.

It is an arithmetic number, because the mean of its divisors is an integer number (703770720).

Almost surely, 2^61361786880 is an apocalyptic number.

61361786880 is a gapful number since it is divisible by the number (60) 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 61361786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109788232320).

61361786880 is an abundant number, since it is smaller than the sum of its proper divisors (158214677760).

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

61361786880 is a wasteful number, since it uses less digits than its factorization.

61361786880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10805 (or 10780 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

It can be divided in two parts, 61361 and 786880, that added together give a square (848241 = 921²).

The spelling of 61361786880 in words is "sixty-one billion, three hundred sixty-one million, seven hundred eighty-six thousand, eight hundred eighty".