90747105469440 has 704 divisors, whose sum is σ = 357688375511040. Its totient is φ = 19171202826240.

The previous prime is 90747105469403. The next prime is 90747105469453. The reversal of 90747105469440 is 4496450174709.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83216359 + ... + 84299801.

Almost surely, 2^{90747105469440} 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 90747105469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178844187755520).

90747105469440 is an abundant number, since it is smaller than the sum of its proper divisors (266941270041600).

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

90747105469440 is a wasteful number, since it uses less digits than its factorization.

90747105469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083538 (or 1083520 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 90747105469440 in words is "ninety trillion, seven hundred forty-seven billion, one hundred five million, four hundred sixty-nine thousand, four hundred forty".