61360104960 has 1680 divisors, whose sum is σ = 284508232272. Its totient is φ = 12541132800.

The previous prime is 61360104889. The next prime is 61360104977. The reversal of 61360104960 is 6940106316.

61360104960 is a `hidden beast` number, since 6 + 1 + 3 + 601 + 0 + 49 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1005903330 + ... + 1005903390.

Almost surely, 2^61360104960 is an apocalyptic number.

61360104960 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 61360104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142254116136).

61360104960 is an abundant number, since it is smaller than the sum of its proper divisors (223148127312).

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

61360104960 is an equidigital number, since it uses as much as digits as its factorization.

61360104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 61360104960 in words is "sixty-one billion, three hundred sixty million, one hundred four thousand, nine hundred sixty".