90336829440 has 896 divisors, whose sum is σ = 349569706752. Its totient is φ = 19629342720.

The previous prime is 90336829421. The next prime is 90336829489. The reversal of 90336829440 is 4492863309.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 90336829440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 931307472 + ... + 931307568.

It is an arithmetic number, because the mean of its divisors is an integer number (390144762).

Almost surely, 2^90336829440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90336829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174784853376).

90336829440 is an abundant number, since it is smaller than the sum of its proper divisors (259232877312).

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

90336829440 is a wasteful number, since it uses less digits than its factorization.

90336829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 90336829440 in words is "ninety billion, three hundred thirty-six million, eight hundred twenty-nine thousand, four hundred forty".