90643261800 has 192 divisors, whose sum is σ = 345839114880. Its totient is φ = 19124720640.

The previous prime is 90643261777. The next prime is 90643261801. The reversal of 90643261800 is 816234609.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (90643261801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 775467 + ... + 884666.

It is an arithmetic number, because the mean of its divisors is an integer number (1801245390).

Almost surely, 2^90643261800 is an apocalyptic number.

It is an amenable number.

90643261800 is an abundant number, since it is smaller than the sum of its proper divisors (255195853080).

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

90643261800 is a wasteful number, since it uses less digits than its factorization.

90643261800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660172 (or 1660163 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 90643261800 in words is "ninety billion, six hundred forty-three million, two hundred sixty-one thousand, eight hundred".