6625661929344 has 320 divisors, whose sum is σ = 19927393200000. Its totient is φ = 2185124594688.

The previous prime is 6625661929259. The next prime is 6625661929373. The reversal of 6625661929344 is 4439291665266.

6625661929344 is a `hidden beast` number, since 6 + 6 + 2 + 5 + 6 + 619 + 2 + 9 + 3 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1600786027 + ... + 1600790165.

It is an arithmetic number, because the mean of its divisors is an integer number (62273103750).

Almost surely, 2^{6625661929344} is an apocalyptic number.

6625661929344 is a gapful number since it is divisible by the number (64) 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 6625661929344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9963696600000).

6625661929344 is an abundant number, since it is smaller than the sum of its proper divisors (13301731270656).

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

6625661929344 is a wasteful number, since it uses less digits than its factorization.

6625661929344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5767 (or 5746 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 63.

The spelling of 6625661929344 in words is "six trillion, six hundred twenty-five billion, six hundred sixty-one million, nine hundred twenty-nine thousand, three hundred forty-four".