76146090390 has 40 divisors (see below), whose sum is σ = 204748378560. Its totient is φ = 20305623888.

The previous prime is 76146090389. The next prime is 76146090473. The reversal of 76146090390 is 9309064167.

76146090390 is a `hidden beast` number, since 7 + 6 + 1 + 4 + 609 + 0 + 39 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47002950 + ... + 47004569.

It is an arithmetic number, because the mean of its divisors is an integer number (5118709464).

Almost surely, 2^76146090390 is an apocalyptic number.

76146090390 is an abundant number, since it is smaller than the sum of its proper divisors (128602288170).

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

76146090390 is a wasteful number, since it uses less digits than its factorization.

76146090390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94007538 (or 94007529 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 76146090390 in words is "seventy-six billion, one hundred forty-six million, ninety thousand, three hundred ninety".