90029761840 has 40 divisors (see below), whose sum is σ = 209730527280. Its totient is φ = 35941138176.

The previous prime is 90029761817. The next prime is 90029761849. The reversal of 90029761840 is 4816792009.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (90029761849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1064754 + ... + 1146193.

It is an arithmetic number, because the mean of its divisors is an integer number (5243263182).

Almost surely, 2^90029761840 is an apocalyptic number.

It is an amenable number.

90029761840 is an abundant number, since it is smaller than the sum of its proper divisors (119700765440).

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

90029761840 is a wasteful number, since it uses less digits than its factorization.

90029761840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211469 (or 2211463 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 90029761840 in words is "ninety billion, twenty-nine million, seven hundred sixty-one thousand, eight hundred forty".