90946022400 has 660 divisors, whose sum is σ = 342759178080. Its totient is φ = 23821516800.

The previous prime is 90946022399. The next prime is 90946022423. The reversal of 90946022400 is 422064909.

90946022400 is a `hidden beast` number, since 9 + 0 + 9 + 4 + 602 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 126489241 + ... + 126489959.

It is an arithmetic number, because the mean of its divisors is an integer number (519332088).

Almost surely, 2^90946022400 is an apocalyptic number.

90946022400 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 90946022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171379589040).

90946022400 is an abundant number, since it is smaller than the sum of its proper divisors (251813155680).

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

90946022400 is a wasteful number, since it uses less digits than its factorization.

90946022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 90946022400 in words is "ninety billion, nine hundred forty-six million, twenty-two thousand, four hundred".