90567283968 has 432 divisors, whose sum is σ = 312576001920. Its totient is φ = 24672485376.

The previous prime is 90567283951. The next prime is 90567284011. The reversal of 90567283968 is 86938276509.

90567283968 is a `hidden beast` number, since 9 + 0 + 567 + 2 + 8 + 3 + 9 + 68 = 666.

It is a super-3 number, since 3×90567283968³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38818930 + ... + 38821262.

It is an arithmetic number, because the mean of its divisors is an integer number (723555560).

Almost surely, 2^90567283968 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 90567283968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156288000960).

90567283968 is an abundant number, since it is smaller than the sum of its proper divisors (222008717952).

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

90567283968 is a wasteful number, since it uses less digits than its factorization.

90567283968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 90567283968 in words is "ninety billion, five hundred sixty-seven million, two hundred eighty-three thousand, nine hundred sixty-eight".