75814740000 has 360 divisors, whose sum is σ = 276009345612. Its totient is φ = 19722240000.

The previous prime is 75814739971. The next prime is 75814740017. The reversal of 75814740000 is 4741857.

75814740000 is a `hidden beast` number, since 7 + 581 + 4 + 74 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 32352497424 + 43462242576 = 179868^2 + 208476^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7374864 + ... + 7385136.

Almost surely, 2^75814740000 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 75814740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138004672806).

75814740000 is an abundant number, since it is smaller than the sum of its proper divisors (200194605612).

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

75814740000 is a wasteful number, since it uses less digits than its factorization.

75814740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10350 (or 10324 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 75814740000 in words is "seventy-five billion, eight hundred fourteen million, seven hundred forty thousand".