6498276049440 has 1440 divisors, whose sum is σ = 29476280744064. Its totient is φ = 1337116999680.

The previous prime is 6498276049393. The next prime is 6498276049459. The reversal of 6498276049440 is 449406728946.

6498276049440 is a `hidden beast` number, since 6 + 4 + 9 + 82 + 7 + 60 + 494 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×6498276049440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 248287555 + ... + 248313725.

Almost surely, 2^{6498276049440} is an apocalyptic number.

6498276049440 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 6498276049440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14738140372032).

6498276049440 is an abundant number, since it is smaller than the sum of its proper divisors (22978004694624).

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

6498276049440 is a wasteful number, since it uses less digits than its factorization.

6498276049440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26252 (or 26228 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 6498276049440 in words is "six trillion, four hundred ninety-eight billion, two hundred seventy-six million, forty-nine thousand, four hundred forty".