1640893515000 has 640 divisors, whose sum is σ = 5463321177600. Its totient is φ = 409893120000.

The previous prime is 1640893514993. The next prime is 1640893515017. The reversal of 1640893515000 is 5153980461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2374664655 + ... + 2374665345.

It is an arithmetic number, because the mean of its divisors is an integer number (8536439340).

Almost surely, 2^{1640893515000} is an apocalyptic number.

1640893515000 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 1640893515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731660588800).

1640893515000 is an abundant number, since it is smaller than the sum of its proper divisors (3822427662600).

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

1640893515000 is a wasteful number, since it uses less digits than its factorization.

1640893515000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 1640893515000 in words is "one trillion, six hundred forty billion, eight hundred ninety-three million, five hundred fifteen thousand".