90563596672 has 64 divisors (see below), whose sum is σ = 190061924400. Its totient is φ = 42865459200.

The previous prime is 90563596649. The next prime is 90563596679. The reversal of 90563596672 is 27669536509.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90563596679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3296272 + ... + 3323632.

Almost surely, 2^90563596672 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 90563596672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95030962200).

90563596672 is an abundant number, since it is smaller than the sum of its proper divisors (99498327728).

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

90563596672 is a wasteful number, since it uses less digits than its factorization.

90563596672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28755 (or 28743 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 58.

The spelling of 90563596672 in words is "ninety billion, five hundred sixty-three million, five hundred ninety-six thousand, six hundred seventy-two".