90667590816 has 384 divisors, whose sum is σ = 280203356160. Its totient is φ = 25380864000.

The previous prime is 90667590809. The next prime is 90667590851. The reversal of 90667590816 is 61809576609.

It is a happy number.

It is a super-2 number, since 2×90667590816² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150860916 + ... + 150861516.

It is an arithmetic number, because the mean of its divisors is an integer number (729696240).

Almost surely, 2^90667590816 is an apocalyptic number.

90667590816 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 90667590816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140101678080).

90667590816 is an abundant number, since it is smaller than the sum of its proper divisors (189535765344).

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

90667590816 is a wasteful number, since it uses less digits than its factorization.

90667590816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 90667590816 in words is "ninety billion, six hundred sixty-seven million, five hundred ninety thousand, eight hundred sixteen".