90302774400 has 384 divisors, whose sum is σ = 347883240000. Its totient is φ = 22812917760.

The previous prime is 90302774377. The next prime is 90302774467. The reversal of 90302774400 is 447720309.

It is a tau number, because it is divible by the number of its divisors (384).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1614096 + ... + 1669104.

Almost surely, 2^90302774400 is an apocalyptic number.

90302774400 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 90302774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173941620000).

90302774400 is an abundant number, since it is smaller than the sum of its proper divisors (257580465600).

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

90302774400 is a wasteful number, since it uses less digits than its factorization.

90302774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55061 (or 55038 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 90302774400 in words is "ninety billion, three hundred two million, seven hundred seventy-four thousand, four hundred".