90074462400 has 1008 divisors, whose sum is σ = 364022201088. Its totient is φ = 21772800000.

The previous prime is 90074462399. The next prime is 90074462407. The reversal of 90074462400 is 426447009.

90074462400 is a `hidden beast` number, since 90 + 0 + 74 + 462 + 40 + 0 = 666.

It is a super-2 number, since 2×90074462400² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (90074462407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 358862275 + ... + 358862525.

It is an arithmetic number, because the mean of its divisors is an integer number (361133136).

Almost surely, 2^90074462400 is an apocalyptic number.

90074462400 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 90074462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182011100544).

90074462400 is an abundant number, since it is smaller than the sum of its proper divisors (273947738688).

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

90074462400 is a wasteful number, since it uses less digits than its factorization.

90074462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 90074462400 in words is "ninety billion, seventy-four million, four hundred sixty-two thousand, four hundred".