90297690327936 has 3072 divisors, whose sum is σ = 352693426176000. Its totient is φ = 21537305395200.

The previous prime is 90297690327829. The next prime is 90297690327983. The reversal of 90297690327936 is 63972309679209.

90297690327936 is a `hidden beast` number, since 9 + 0 + 297 + 6 + 9 + 0 + 327 + 9 + 3 + 6 = 666.

90297690327936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 649623671355 + ... + 649623671493.

It is an arithmetic number, because the mean of its divisors is an integer number (114809058000).

Almost surely, 2^{90297690327936} is an apocalyptic number.

90297690327936 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 90297690327936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176346713088000).

90297690327936 is an abundant number, since it is smaller than the sum of its proper divisors (262395735848064).

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

90297690327936 is a wasteful number, since it uses less digits than its factorization.

90297690327936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 416649744, while the sum is 72.

The spelling of 90297690327936 in words is "ninety trillion, two hundred ninety-seven billion, six hundred ninety million, three hundred twenty-seven thousand, nine hundred thirty-six".