75412546560 has 704 divisors, whose sum is σ = 298776844800. Its totient is φ = 17910595584.

The previous prime is 75412546529. The next prime is 75412546591. The reversal of 75412546560 is 6564521457.

75412546560 is a `hidden beast` number, since 7 + 5 + 4 + 125 + 465 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (75412546529) and next prime (75412546591).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52115757 + ... + 52117203.

Almost surely, 2^75412546560 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 75412546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149388422400).

75412546560 is an abundant number, since it is smaller than the sum of its proper divisors (223364298240).

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

75412546560 is a wasteful number, since it uses less digits than its factorization.

75412546560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 75412546560 in words is "seventy-five billion, four hundred twelve million, five hundred forty-six thousand, five hundred sixty".