90069174720 has 784 divisors, whose sum is σ = 386982858240. Its totient is φ = 19496982528.

The previous prime is 90069174683. The next prime is 90069174731. The reversal of 90069174720 is 2747196009.

90069174720 is a `hidden beast` number, since 90 + 0 + 6 + 91 + 7 + 472 + 0 = 666.

It is a super-2 number, since 2×90069174720² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 31024789 + ... + 31027691.

Almost surely, 2^90069174720 is an apocalyptic number.

90069174720 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 90069174720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193491429120).

90069174720 is an abundant number, since it is smaller than the sum of its proper divisors (296913683520).

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

90069174720 is a wasteful number, since it uses less digits than its factorization.

90069174720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 90069174720 in words is "ninety billion, sixty-nine million, one hundred seventy-four thousand, seven hundred twenty".