1640227006000 has 160 divisors (see below), whose sum is σ = 4330518454080. Its totient is φ = 595908864000.

The previous prime is 1640227005961. The next prime is 1640227006013. The reversal of 1640227006000 is 6007220461.

It is a self number, because there is not a number n which added to its sum of digits gives 1640227006000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24804982 + ... + 24871018.

It is an arithmetic number, because the mean of its divisors is an integer number (27065740338).

Almost surely, 2^{1640227006000} is an apocalyptic number.

1640227006000 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 1640227006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165259227040).

1640227006000 is an abundant number, since it is smaller than the sum of its proper divisors (2690291448080).

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

1640227006000 is a wasteful number, since it uses less digits than its factorization.

1640227006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67200 (or 67184 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 1640227006000 in words is "one trillion, six hundred forty billion, two hundred twenty-seven million, six thousand".