6649082376000 has 448 divisors, whose sum is σ = 23279721304320. Its totient is φ = 1667491430400.

The previous prime is 6649082375993. The next prime is 6649082376007. The reversal of 6649082376000 is 6732809466.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6649082375993) and next prime (6649082376007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6649082376007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62418784 + ... + 62525216.

Almost surely, 2^{6649082376000} is an apocalyptic number.

6649082376000 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 6649082376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11639860652160).

6649082376000 is an abundant number, since it is smaller than the sum of its proper divisors (16630638928320).

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

6649082376000 is a wasteful number, since it uses less digits than its factorization.

6649082376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106619 (or 106599 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 6649082376000 in words is "six trillion, six hundred forty-nine billion, eighty-two million, three hundred seventy-six thousand".