6655763600640 has 3456 divisors, whose sum is σ = 31825586257920. Its totient is φ = 1242169344000.

The previous prime is 6655763600593. The next prime is 6655763600653. The reversal of 6655763600640 is 460063675566.

6655763600640 is a `hidden beast` number, since 6 + 6 + 5 + 576 + 3 + 6 + 0 + 0 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 44077904565 + ... + 44077904715.

It is an arithmetic number, because the mean of its divisors is an integer number (9208792320).

Almost surely, 2^{6655763600640} is an apocalyptic number.

6655763600640 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 6655763600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15912793128960).

6655763600640 is an abundant number, since it is smaller than the sum of its proper divisors (25169822657280).

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

6655763600640 is a wasteful number, since it uses less digits than its factorization.

6655763600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 6655763600640 in words is "six trillion, six hundred fifty-five billion, seven hundred sixty-three million, six hundred thousand, six hundred forty".