90679330080 has 864 divisors, whose sum is σ = 358031052288. Its totient is φ = 20802355200.

The previous prime is 90679330051. The next prime is 90679330117. The reversal of 90679330080 is 8003397609.

It is a happy number.

It is a super-3 number, since 3×90679330080³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 273955515 + ... + 273955845.

It is an arithmetic number, because the mean of its divisors is an integer number (414387792).

Almost surely, 2^90679330080 is an apocalyptic number.

90679330080 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 90679330080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179015526144).

90679330080 is an abundant number, since it is smaller than the sum of its proper divisors (267351722208).

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

90679330080 is a wasteful number, since it uses less digits than its factorization.

90679330080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 90679330080 in words is "ninety billion, six hundred seventy-nine million, three hundred thirty thousand, eighty".