90032640768 has 324 divisors, whose sum is σ = 303163136640. Its totient is φ = 25621843968.

The previous prime is 90032640767. The next prime is 90032640769. The reversal of 90032640768 is 86704623009.

It is an interprime number because it is at equal distance from previous prime (90032640767) and next prime (90032640769).

It is not an unprimeable number, because it can be changed into a prime (90032640767) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31270753 + ... + 31273631.

Almost surely, 2^90032640768 is an apocalyptic number.

90032640768 is a gapful number since it is divisible by the number (98) 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 90032640768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151581568320).

90032640768 is an abundant number, since it is smaller than the sum of its proper divisors (213130495872).

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

90032640768 is a wasteful number, since it uses less digits than its factorization.

90032640768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 90032640768 in words is "ninety billion, thirty-two million, six hundred forty thousand, seven hundred sixty-eight".