75392442090 has 320 divisors, whose sum is σ = 241008768000. Its totient is φ = 16550936064.

The previous prime is 75392442079. The next prime is 75392442109. The reversal of 75392442090 is 9024429357.

75392442090 is a `hidden beast` number, since 7 + 53 + 92 + 4 + 420 + 90 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16571136 + ... + 16575684.

It is an arithmetic number, because the mean of its divisors is an integer number (753152400).

Almost surely, 2^75392442090 is an apocalyptic number.

75392442090 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75392442090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120504384000).

75392442090 is an abundant number, since it is smaller than the sum of its proper divisors (165616325910).

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

75392442090 is a wasteful number, since it uses less digits than its factorization.

75392442090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4691 (or 4682 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 75392442090 in words is "seventy-five billion, three hundred ninety-two million, four hundred forty-two thousand, ninety".