90634320000 has 960 divisors, whose sum is σ = 381103008000. Its totient is φ = 20659968000.

The previous prime is 90634319887. The next prime is 90634320019. The reversal of 90634320000 is 2343609.

90634320000 is a `hidden beast` number, since 9 + 0 + 634 + 3 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 246959817 + ... + 246960183.

It is an arithmetic number, because the mean of its divisors is an integer number (396982300).

Almost surely, 2^90634320000 is an apocalyptic number.

90634320000 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 90634320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190551504000).

90634320000 is an abundant number, since it is smaller than the sum of its proper divisors (290468688000).

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

90634320000 is an equidigital number, since it uses as much as digits as its factorization.

90634320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 90634320000 its reverse (2343609), we get a palindrome (90636663609).

The spelling of 90634320000 in words is "ninety billion, six hundred thirty-four million, three hundred twenty thousand".