75750151680 has 960 divisors, whose sum is σ = 314579865600. Its totient is φ = 16482631680.

The previous prime is 75750151679. The next prime is 75750151681. The reversal of 75750151680 is 8615105757.

75750151680 is a `hidden beast` number, since 7 + 5 + 7 + 50 + 1 + 516 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (75750151679) and next prime (75750151681).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75750151681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 544965051 + ... + 544965189.

It is an arithmetic number, because the mean of its divisors is an integer number (327687360).

Almost surely, 2^75750151680 is an apocalyptic number.

75750151680 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 75750151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157289932800).

75750151680 is an abundant number, since it is smaller than the sum of its proper divisors (238829713920).

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

75750151680 is a wasteful number, since it uses less digits than its factorization.

75750151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 45.

The spelling of 75750151680 in words is "seventy-five billion, seven hundred fifty million, one hundred fifty-one thousand, six hundred eighty".