6352980495840 has 1152 divisors, whose sum is σ = 25634189750400. Its totient is φ = 1466383564800.

The previous prime is 6352980495781. The next prime is 6352980495853. The reversal of 6352980495840 is 485940892536.

6352980495840 is a `hidden beast` number, since 6 + 3 + 5 + 2 + 9 + 8 + 0 + 49 + 584 + 0 = 666.

It is a super-2 number, since 2×6352980495840² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1106595370 + ... + 1106601110.

It is an arithmetic number, because the mean of its divisors is an integer number (22251900825).

Almost surely, 2^{6352980495840} is an apocalyptic number.

6352980495840 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 6352980495840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12817094875200).

6352980495840 is an abundant number, since it is smaller than the sum of its proper divisors (19281209254560).

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

6352980495840 is a wasteful number, since it uses less digits than its factorization.

6352980495840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889 (or 5864 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 6352980495840 in words is "six trillion, three hundred fifty-two billion, nine hundred eighty million, four hundred ninety-five thousand, eight hundred forty".