90735085440 has 640 divisors, whose sum is σ = 337819299840. Its totient is φ = 23182848000.

The previous prime is 90735085423. The next prime is 90735085457. The reversal of 90735085440 is 4458053709.

90735085440 is a `hidden beast` number, since 90 + 7 + 3 + 508 + 54 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90735085423) and next prime (90735085457).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 210522025 + ... + 210522455.

It is an arithmetic number, because the mean of its divisors is an integer number (527842656).

Almost surely, 2^90735085440 is an apocalyptic number.

90735085440 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 90735085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168909649920).

90735085440 is an abundant number, since it is smaller than the sum of its proper divisors (247084214400).

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

90735085440 is a wasteful number, since it uses less digits than its factorization.

90735085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 90735085440 in words is "ninety billion, seven hundred thirty-five million, eighty-five thousand, four hundred forty".