61310943360 has 512 divisors, whose sum is σ = 232076275200. Its totient is φ = 15243411456.

The previous prime is 61310943341. The next prime is 61310943361. The reversal of 61310943360 is 6334901316.

61310943360 is a `hidden beast` number, since 6 + 1 + 310 + 9 + 4 + 336 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (61310943361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33193957 + ... + 33195803.

It is an arithmetic number, because the mean of its divisors is an integer number (453273975).

Almost surely, 2^61310943360 is an apocalyptic number.

61310943360 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 61310943360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116038137600).

61310943360 is an abundant number, since it is smaller than the sum of its proper divisors (170765331840).

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

61310943360 is a wasteful number, since it uses less digits than its factorization.

61310943360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 61310943360 in words is "sixty-one billion, three hundred ten million, nine hundred forty-three thousand, three hundred sixty".