90624441600 has 1728 divisors, whose sum is σ = 425806080000. Its totient is φ = 18695577600.

The previous prime is 90624441577. The next prime is 90624441613. The reversal of 90624441600 is 614442609.

90624441600 is a `hidden beast` number, since 9 + 0 + 6 + 2 + 4 + 4 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 651974331 + ... + 651974469.

Almost surely, 2^90624441600 is an apocalyptic number.

90624441600 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 90624441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212903040000).

90624441600 is an abundant number, since it is smaller than the sum of its proper divisors (335181638400).

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

90624441600 is a wasteful number, since it uses less digits than its factorization.

90624441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 90624441600 in words is "ninety billion, six hundred twenty-four million, four hundred forty-one thousand, six hundred".