90476660400 has 240 divisors, whose sum is σ = 337482042624. Its totient is φ = 20290083840.

The previous prime is 90476660363. The next prime is 90476660413. The reversal of 90476660400 is 406667409.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343587 + ... + 546813.

Almost surely, 2^90476660400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90476660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168741021312).

90476660400 is an abundant number, since it is smaller than the sum of its proper divisors (247005382224).

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

90476660400 is a wasteful number, since it uses less digits than its factorization.

90476660400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203308 (or 203297 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 90476660400 in words is "ninety billion, four hundred seventy-six million, six hundred sixty thousand, four hundred".