6626681385120 has 1152 divisors, whose sum is σ = 25870554178560. Its totient is φ = 1534309171200.

The previous prime is 6626681385113. The next prime is 6626681385133. The reversal of 6626681385120 is 215831866266.

6626681385120 is a `hidden beast` number, since 6 + 6 + 2 + 66 + 81 + 385 + 120 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5093528470 + ... + 5093529770.

It is an arithmetic number, because the mean of its divisors is an integer number (22457078280).

Almost surely, 2^{6626681385120} is an apocalyptic number.

6626681385120 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 6626681385120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12935277089280).

6626681385120 is an abundant number, since it is smaller than the sum of its proper divisors (19243872793440).

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

6626681385120 is a wasteful number, since it uses less digits than its factorization.

6626681385120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 6626681385120 in words is "six trillion, six hundred twenty-six billion, six hundred eighty-one million, three hundred eighty-five thousand, one hundred twenty".