90804606720 has 576 divisors, whose sum is σ = 310041768960. Its totient is φ = 22617391104.

The previous prime is 90804606719. The next prime is 90804606721. The reversal of 90804606720 is 2760640809.

It is an interprime number because it is at equal distance from previous prime (90804606719) and next prime (90804606721).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90804606721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 543740077 + ... + 543740243.

It is an arithmetic number, because the mean of its divisors is an integer number (538266960).

Almost surely, 2^90804606720 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 90804606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155020884480).

90804606720 is an abundant number, since it is smaller than the sum of its proper divisors (219237162240).

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

90804606720 is a wasteful number, since it uses less digits than its factorization.

90804606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 90804606720 in words is "ninety billion, eight hundred four million, six hundred six thousand, seven hundred twenty".