90420641280 has 640 divisors, whose sum is σ = 349149081600. Its totient is φ = 22096281600.

The previous prime is 90420641251. The next prime is 90420641281. The reversal of 90420641280 is 8214602409.

90420641280 is a `hidden beast` number, since 9 + 0 + 4 + 2 + 0 + 641 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90420641281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40710570 + ... + 40712790.

It is an arithmetic number, because the mean of its divisors is an integer number (545545440).

Almost surely, 2^90420641280 is an apocalyptic number.

90420641280 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 90420641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174574540800).

90420641280 is an abundant number, since it is smaller than the sum of its proper divisors (258728440320).

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

90420641280 is a wasteful number, since it uses less digits than its factorization.

90420641280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 90420641280 in words is "ninety billion, four hundred twenty million, six hundred forty-one thousand, two hundred eighty".