90762899136 has 672 divisors, whose sum is σ = 319429619712. Its totient is φ = 22504366080.

The previous prime is 90762899131. The next prime is 90762899153. The reversal of 90762899136 is 63199826709.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 90762899136.

It is not an unprimeable number, because it can be changed into a prime (90762899131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140282365 + ... + 140283011.

It is an arithmetic number, because the mean of its divisors is an integer number (475341696).

Almost surely, 2^90762899136 is an apocalyptic number.

90762899136 is a gapful number since it is divisible by the number (96) 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 90762899136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159714809856).

90762899136 is an abundant number, since it is smaller than the sum of its proper divisors (228666720576).

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

90762899136 is a wasteful number, since it uses less digits than its factorization.

90762899136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 60.

The spelling of 90762899136 in words is "ninety billion, seven hundred sixty-two million, eight hundred ninety-nine thousand, one hundred thirty-six".