1640215332000 has 1920 divisors, whose sum is σ = 7288105144320. Its totient is φ = 353341440000.

The previous prime is 1640215331983. The next prime is 1640215332011. The reversal of 1640215332000 is 2335120461.

1640215332000 is a `hidden beast` number, since 1 + 6 + 402 + 1 + 53 + 3 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2882627716 + ... + 2882628284.

It is an arithmetic number, because the mean of its divisors is an integer number (3795888096).

Almost surely, 2^{1640215332000} is an apocalyptic number.

1640215332000 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 1640215332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644052572160).

1640215332000 is an abundant number, since it is smaller than the sum of its proper divisors (5647889812320).

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

1640215332000 is a wasteful number, since it uses less digits than its factorization.

1640215332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 1640215332000 in words is "one trillion, six hundred forty billion, two hundred fifteen million, three hundred thirty-two thousand".