90497328768 has 576 divisors, whose sum is σ = 329718916800. Its totient is φ = 23320535040.

The previous prime is 90497328749. The next prime is 90497328769. The reversal of 90497328768 is 86782379409.

90497328768 is a `hidden beast` number, since 9 + 0 + 497 + 3 + 2 + 87 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (90497328769) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 159045988 + ... + 159046556.

It is an arithmetic number, because the mean of its divisors is an integer number (572428675).

Almost surely, 2^90497328768 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 90497328768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164859458400).

90497328768 is an abundant number, since it is smaller than the sum of its proper divisors (239221588032).

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

90497328768 is a wasteful number, since it uses less digits than its factorization.

90497328768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

It can be divided in two parts, 904973287 and 68, that multiplied together give a palindrome (61538183516).

The spelling of 90497328768 in words is "ninety billion, four hundred ninety-seven million, three hundred twenty-eight thousand, seven hundred sixty-eight".