90767304000 has 336 divisors, whose sum is σ = 336722533056. Its totient is φ = 24204096000.

The previous prime is 90767303969. The next prime is 90767304007. The reversal of 90767304000 is 40376709.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90767304007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1920655 + ... + 1967345.

It is an arithmetic number, because the mean of its divisors is an integer number (1002150396).

Almost surely, 2^90767304000 is an apocalyptic number.

90767304000 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 90767304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168361266528).

90767304000 is an abundant number, since it is smaller than the sum of its proper divisors (245955229056).

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

90767304000 is an equidigital number, since it uses as much as digits as its factorization.

90767304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46733 (or 46701 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 90767304000 in words is "ninety billion, seven hundred sixty-seven million, three hundred four thousand".