6649397726400 has 504 divisors, whose sum is σ = 27765274044144. Its totient is φ = 1487976652800.

The previous prime is 6649397726399. The next prime is 6649397726431. The reversal of 6649397726400 is 46277939466.

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, 444642 + ... + 3673758.

Almost surely, 2^{6649397726400} is an apocalyptic number.

6649397726400 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 6649397726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13882637022072).

6649397726400 is an abundant number, since it is smaller than the sum of its proper divisors (21115876317744).

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

6649397726400 is a wasteful number, since it uses less digits than its factorization.

6649397726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229169 (or 3229151 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 6649397726400 in words is "six trillion, six hundred forty-nine billion, three hundred ninety-seven million, seven hundred twenty-six thousand, four hundred".