75445456680 has 384 divisors, whose sum is σ = 284528350080. Its totient is φ = 17134632960.

The previous prime is 75445456651. The next prime is 75445456739. The reversal of 75445456680 is 8665454457.

75445456680 is a `hidden beast` number, since 7 + 54 + 454 + 5 + 66 + 80 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15279172 + ... + 15284108.

It is an arithmetic number, because the mean of its divisors is an integer number (740959245).

Almost surely, 2^75445456680 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 75445456680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142264175040).

75445456680 is an abundant number, since it is smaller than the sum of its proper divisors (209082893400).

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

75445456680 is a wasteful number, since it uses less digits than its factorization.

75445456680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5209 (or 5202 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 75445456680 in words is "seventy-five billion, four hundred forty-five million, four hundred fifty-six thousand, six hundred eighty".