6498901831680 has 416 divisors, whose sum is σ = 24463502712000. Its totient is φ = 1631094571008.

The previous prime is 6498901831633. The next prime is 6498901831691. The reversal of 6498901831680 is 861381098946.

6498901831680 is a `hidden beast` number, since 6 + 498 + 9 + 0 + 1 + 83 + 1 + 68 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9054646 + ... + 9745994.

Almost surely, 2^{6498901831680} is an apocalyptic number.

6498901831680 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 6498901831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12231751356000).

6498901831680 is an abundant number, since it is smaller than the sum of its proper divisors (17964600880320).

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

6498901831680 is a wasteful number, since it uses less digits than its factorization.

6498901831680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691404 (or 691376 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 6498901831680 in words is "six trillion, four hundred ninety-eight billion, nine hundred one million, eight hundred thirty-one thousand, six hundred eighty".