6618731616000 has 1440 divisors, whose sum is σ = 28290573222912. Its totient is φ = 1505251123200.

The previous prime is 6618731615989. The next prime is 6618731616017. The reversal of 6618731616000 is 6161378166.

6618731616000 is a `hidden beast` number, since 6 + 6 + 1 + 8 + 7 + 31 + 6 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4118687197 + ... + 4118688803.

Almost surely, 2^{6618731616000} is an apocalyptic number.

6618731616000 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 6618731616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14145286611456).

6618731616000 is an abundant number, since it is smaller than the sum of its proper divisors (21671841606912).

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

6618731616000 is a wasteful number, since it uses less digits than its factorization.

6618731616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 6618731616000 in words is "six trillion, six hundred eighteen billion, seven hundred thirty-one million, six hundred sixteen thousand".