90618782400 has 1344 divisors, whose sum is σ = 371904768000. Its totient is φ = 21633454080.

The previous prime is 90618782389. The next prime is 90618782407. The reversal of 90618782400 is 428781609.

90618782400 is a `hidden beast` number, since 9 + 0 + 618 + 7 + 8 + 24 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90618782407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1928059177 + ... + 1928059223.

Almost surely, 2^90618782400 is an apocalyptic number.

90618782400 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 90618782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185952384000).

90618782400 is an abundant number, since it is smaller than the sum of its proper divisors (281285985600).

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

90618782400 is a wasteful number, since it uses less digits than its factorization.

90618782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 90618782400 in words is "ninety billion, six hundred eighteen million, seven hundred eighty-two thousand, four hundred".