90434741760 has 640 divisors, whose sum is σ = 353690219520. Its totient is φ = 21901271040.

The previous prime is 90434741741. The next prime is 90434741773. The reversal of 90434741760 is 6714743409.

90434741760 is a `hidden beast` number, since 9 + 0 + 4 + 3 + 474 + 176 + 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91998229 + ... + 91999211.

It is an arithmetic number, because the mean of its divisors is an integer number (552640968).

Almost surely, 2^90434741760 is an apocalyptic number.

90434741760 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 90434741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176845109760).

90434741760 is an abundant number, since it is smaller than the sum of its proper divisors (263255477760).

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

90434741760 is an equidigital number, since it uses as much as digits as its factorization.

90434741760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 90434741760 in words is "ninety billion, four hundred thirty-four million, seven hundred forty-one thousand, seven hundred sixty".