1640643932160 has 624 divisors, whose sum is σ = 6208248533760. Its totient is φ = 414454579200.

The previous prime is 1640643932159. The next prime is 1640643932227. The reversal of 1640643932160 is 612393460461.

1640643932160 is a `hidden beast` number, since 1 + 6 + 40 + 6 + 4 + 393 + 216 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 94547485 + ... + 94564835.

It is an arithmetic number, because the mean of its divisors is an integer number (9949116240).

Almost surely, 2^{1640643932160} is an apocalyptic number.

1640643932160 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 1640643932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104124266880).

1640643932160 is an abundant number, since it is smaller than the sum of its proper divisors (4567604601600).

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

1640643932160 is an equidigital number, since it uses as much as digits as its factorization.

1640643932160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17414 (or 17380 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 1640643932160 in words is "one trillion, six hundred forty billion, six hundred forty-three million, nine hundred thirty-two thousand, one hundred sixty".