6535790490240 has 576 divisors, whose sum is σ = 25384166327520. Its totient is φ = 1547579658240.

The previous prime is 6535790490221. The next prime is 6535790490253. The reversal of 6535790490240 is 420940975356.

6535790490240 is a `hidden beast` number, since 6 + 5 + 3 + 579 + 0 + 49 + 0 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29860239 + ... + 30078321.

Almost surely, 2^{6535790490240} is an apocalyptic number.

6535790490240 is a gapful number since it is divisible by the number (60) 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 6535790490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12692083163760).

6535790490240 is an abundant number, since it is smaller than the sum of its proper divisors (18848375837280).

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

6535790490240 is a wasteful number, since it uses less digits than its factorization.

6535790490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218173 (or 218147 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 6535790490240 in words is "six trillion, five hundred thirty-five billion, seven hundred ninety million, four hundred ninety thousand, two hundred forty".