6668793815040 has 3360 divisors, whose sum is σ = 31240456980480. Its totient is φ = 1348422598656.

The previous prime is 6668793814981. The next prime is 6668793815081. The reversal of 6668793815040 is 405183978666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 52510187457 + ... + 52510187583.

Almost surely, 2^{6668793815040} is an apocalyptic number.

6668793815040 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 6668793815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15620228490240).

6668793815040 is an abundant number, since it is smaller than the sum of its proper divisors (24571663165440).

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

6668793815040 is a wasteful number, since it uses less digits than its factorization.

6668793815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 6668793815040 in words is "six trillion, six hundred sixty-eight billion, seven hundred ninety-three million, eight hundred fifteen thousand, forty".