6618645893376 has 720 divisors, whose sum is σ = 21841150782528. Its totient is φ = 1976854118400.

The previous prime is 6618645893371. The next prime is 6618645893437. The reversal of 6618645893376 is 6733985468166.

6618645893376 is a `hidden beast` number, since 6 + 6 + 1 + 8 + 6 + 4 + 589 + 3 + 37 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (6618645893371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5438492320 + ... + 5438493536.

Almost surely, 2^{6618645893376} is an apocalyptic number.

6618645893376 is a gapful number since it is divisible by the number (66) 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 6618645893376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10920575391264).

6618645893376 is an abundant number, since it is smaller than the sum of its proper divisors (15222504889152).

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

6618645893376 is a wasteful number, since it uses less digits than its factorization.

6618645893376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1557 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 6618645893376 in words is "six trillion, six hundred eighteen billion, six hundred forty-five million, eight hundred ninety-three thousand, three hundred seventy-six".