1640943360000 has 3600 divisors, whose sum is σ = 7940862329400. Its totient is φ = 334430208000.

The previous prime is 1640943359987. The next prime is 1640943360011. The reversal of 1640943360000 is 633490461.

1640943360000 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 9 + 43 + 3 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a super-2 number, since 2×1640943360000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 86365439991 + ... + 86365440009.

Almost surely, 2^{1640943360000} is an apocalyptic number.

1640943360000 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 1640943360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3970431164700).

1640943360000 is an abundant number, since it is smaller than the sum of its proper divisors (6299918969400).

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

1640943360000 is an equidigital number, since it uses as much as digits as its factorization.

1640943360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 1640943360000 in words is "one trillion, six hundred forty billion, nine hundred forty-three million, three hundred sixty thousand".