90740404800 has 504 divisors, whose sum is σ = 329905355936. Its totient is φ = 23648993280.

The previous prime is 90740404789. The next prime is 90740404831. The reversal of 90740404800 is 840404709.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157262112 + ... + 157262688.

Almost surely, 2^90740404800 is an apocalyptic number.

90740404800 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 90740404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164952677968).

90740404800 is an abundant number, since it is smaller than the sum of its proper divisors (239164951136).

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

90740404800 is a wasteful number, since it uses less digits than its factorization.

90740404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 90740404800 in words is "ninety billion, seven hundred forty million, four hundred four thousand, eight hundred".