90242899568640 has 2304 divisors, whose sum is σ = 392558385623040. Its totient is φ = 18666938695680.

The previous prime is 90242899568639. The next prime is 90242899568659. The reversal of 90242899568640 is 4686599824209.

90242899568640 is a `hidden beast` number, since 9 + 0 + 2 + 428 + 99 + 56 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 136524809910 + ... + 136524810570.

It is an arithmetic number, because the mean of its divisors is an integer number (170381243760).

Almost surely, 2^{90242899568640} is an apocalyptic number.

90242899568640 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 90242899568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196279192811520).

90242899568640 is an abundant number, since it is smaller than the sum of its proper divisors (302315486054400).

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

90242899568640 is a wasteful number, since it uses less digits than its factorization.

90242899568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 90242899568640 in words is "ninety trillion, two hundred forty-two billion, eight hundred ninety-nine million, five hundred sixty-eight thousand, six hundred forty".