90940179330 has 768 divisors, whose sum is σ = 331835212800. Its totient is φ = 17346700800.

The previous prime is 90940179329. The next prime is 90940179377. The reversal of 90940179330 is 3397104909.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 502431840 + ... + 502432020.

It is an arithmetic number, because the mean of its divisors is an integer number (432077100).

Almost surely, 2^90940179330 is an apocalyptic number.

90940179330 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90940179330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165917606400).

90940179330 is an abundant number, since it is smaller than the sum of its proper divisors (240895033470).

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

90940179330 is a wasteful number, since it uses less digits than its factorization.

90940179330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 90940179330 in words is "ninety billion, nine hundred forty million, one hundred seventy-nine thousand, three hundred thirty".