90876093840 has 720 divisors, whose sum is σ = 365520355200. Its totient is φ = 20224189440.

The previous prime is 90876093821. The next prime is 90876093863. The reversal of 90876093840 is 4839067809.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 693710575 + ... + 693710705.

It is an arithmetic number, because the mean of its divisors is an integer number (507667160).

Almost surely, 2^90876093840 is an apocalyptic number.

90876093840 is a gapful number since it is divisible by the number (90) 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 90876093840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182760177600).

90876093840 is an abundant number, since it is smaller than the sum of its proper divisors (274644261360).

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

90876093840 is a wasteful number, since it uses less digits than its factorization.

90876093840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 90876093840 in words is "ninety billion, eight hundred seventy-six million, ninety-three thousand, eight hundred forty".