1645628832000 has 1152 divisors, whose sum is σ = 6476510476800. Its totient is φ = 410075136000.

The previous prime is 1645628831999. The next prime is 1645628832013. The reversal of 1645628832000 is 2388265461.

1645628832000 is a `hidden beast` number, since 1 + 6 + 4 + 562 + 8 + 83 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 2658527691 + ... + 2658528309.

It is an arithmetic number, because the mean of its divisors is an integer number (5621970900).

Almost surely, 2^{1645628832000} is an apocalyptic number.

1645628832000 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 1645628832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238255238400).

1645628832000 is an abundant number, since it is smaller than the sum of its proper divisors (4830881644800).

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

1645628832000 is a wasteful number, since it uses less digits than its factorization.

1645628832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1645628832000 in words is "one trillion, six hundred forty-five billion, six hundred twenty-eight million, eight hundred thirty-two thousand".