61346415999960 has 4608 divisors, whose sum is σ = 292776074035200. Its totient is φ = 11110727024640.

The previous prime is 61346415999859. The next prime is 61346416000007. The reversal of 61346415999960 is 6999951464316.

61346415999960 is a `hidden beast` number, since 6 + 1 + 3 + 464 + 15 + 9 + 9 + 99 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 317857077624 + ... + 317857077816.

It is an arithmetic number, because the mean of its divisors is an integer number (63536474400).

Almost surely, 2^{61346415999960} is an apocalyptic number.

61346415999960 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 61346415999960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146388037017600).

61346415999960 is an abundant number, since it is smaller than the sum of its proper divisors (231429658035240).

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

61346415999960 is a wasteful number, since it uses less digits than its factorization.

61346415999960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 340122240, while the sum is 72.

The spelling of 61346415999960 in words is "sixty-one trillion, three hundred forty-six billion, four hundred fifteen million, nine hundred ninety-nine thousand, nine hundred sixty".