6648621907200 has 2592 divisors, whose sum is σ = 29071995273216. Its totient is φ = 1302605660160.

The previous prime is 6648621907189. The next prime is 6648621907211. The reversal of 6648621907200 is 27091268466.

It is an interprime number because it is at equal distance from previous prime (6648621907189) and next prime (6648621907211).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 52351353537 + ... + 52351353663.

Almost surely, 2^{6648621907200} is an apocalyptic number.

6648621907200 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 6648621907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14535997636608).

6648621907200 is an abundant number, since it is smaller than the sum of its proper divisors (22423373366016).

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

6648621907200 is a wasteful number, since it uses less digits than its factorization.

6648621907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 6648621907200 in words is "six trillion, six hundred forty-eight billion, six hundred twenty-one million, nine hundred seven thousand, two hundred".