75940058880 has 648 divisors, whose sum is σ = 316249315200. Its totient is φ = 16755572736.

The previous prime is 75940058833. The next prime is 75940058923. The reversal of 75940058880 is 8885004957.

75940058880 is a `hidden beast` number, since 7 + 59 + 4 + 0 + 0 + 588 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16367601 + ... + 16372239.

Almost surely, 2^75940058880 is an apocalyptic number.

75940058880 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 75940058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158124657600).

75940058880 is an abundant number, since it is smaller than the sum of its proper divisors (240309256320).

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

75940058880 is a wasteful number, since it uses less digits than its factorization.

75940058880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4709 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 75940058880 in words is "seventy-five billion, nine hundred forty million, fifty-eight thousand, eight hundred eighty".