75085308720 has 640 divisors, whose sum is σ = 279719239680. Its totient is φ = 18697485312.

The previous prime is 75085308653. The next prime is 75085308737. The reversal of 75085308720 is 2780358057.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 189131562 + ... + 189131958.

It is an arithmetic number, because the mean of its divisors is an integer number (437061312).

Almost surely, 2^75085308720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75085308720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139859619840).

75085308720 is an abundant number, since it is smaller than the sum of its proper divisors (204633930960).

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

75085308720 is a wasteful number, since it uses less digits than its factorization.

75085308720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 75085308720 in words is "seventy-five billion, eighty-five million, three hundred eight thousand, seven hundred twenty".