1628667648000 has 768 divisors, whose sum is σ = 6097409136000. Its totient is φ = 434162073600.

The previous prime is 1628667647861. The next prime is 1628667648019. The reversal of 1628667648000 is 8467668261.

1628667648000 is a `hidden beast` number, since 1 + 628 + 6 + 6 + 7 + 6 + 4 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559870546 + ... + 559873454.

Almost surely, 2^{1628667648000} is an apocalyptic number.

1628667648000 is a gapful number since it is divisible by the number (10) 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 1628667648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048704568000).

1628667648000 is an abundant number, since it is smaller than the sum of its proper divisors (4468741488000).

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

1628667648000 is an frugal number, since it uses more digits than its factorization.

1628667648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1628667648000 in words is "one trillion, six hundred twenty-eight billion, six hundred sixty-seven million, six hundred forty-eight thousand".