6628146048000 has 2112 divisors, whose sum is σ = 27259201382400. Its totient is φ = 1538378956800.

The previous prime is 6628146047993. The next prime is 6628146048037. The reversal of 6628146048000 is 8406418266.

6628146048000 is a `hidden beast` number, since 6 + 6 + 28 + 14 + 604 + 8 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17488511811 + ... + 17488512189.

Almost surely, 2^{6628146048000} is an apocalyptic number.

6628146048000 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 6628146048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13629600691200).

6628146048000 is an abundant number, since it is smaller than the sum of its proper divisors (20631055334400).

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

6628146048000 is a wasteful number, since it uses less digits than its factorization.

6628146048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 6628146048000 in words is "six trillion, six hundred twenty-eight billion, one hundred forty-six million, forty-eight thousand".