1640053632000 has 704 divisors, whose sum is σ = 6252326406144. Its totient is φ = 373815705600.

The previous prime is 1640053631989. The next prime is 1640053632053. The reversal of 1640053632000 is 2363500461.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1352063394 + ... + 1352064606.

Almost surely, 2^{1640053632000} is an apocalyptic number.

1640053632000 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 1640053632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126163203072).

1640053632000 is an abundant number, since it is smaller than the sum of its proper divisors (4612272774144).

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

1640053632000 is a wasteful number, since it uses less digits than its factorization.

1640053632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 1640053632000 in words is "one trillion, six hundred forty billion, fifty-three million, six hundred thirty-two thousand".