75561615360 has 900 divisors, whose sum is σ = 329292621840. Its totient is φ = 15701114880.

The previous prime is 75561615343. The next prime is 75561615401. The reversal of 75561615360 is 6351616557.

75561615360 is a `hidden beast` number, since 7 + 5 + 56 + 1 + 61 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 6869237755 + ... + 6869237765.

Almost surely, 2^75561615360 is an apocalyptic number.

75561615360 is a gapful number since it is divisible by the number (70) 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 75561615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164646310920).

75561615360 is an abundant number, since it is smaller than the sum of its proper divisors (253731006480).

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

75561615360 is an frugal number, since it uses more digits than its factorization.

75561615360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 75561615360 in words is "seventy-five billion, five hundred sixty-one million, six hundred fifteen thousand, three hundred sixty".