1640569713090 has 768 divisors, whose sum is σ = 5362677964800. Its totient is φ = 311865016320.

The previous prime is 1640569713059. The next prime is 1640569713157. The reversal of 1640569713090 is 903179650461.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7041071614 + ... + 7041071846.

It is an arithmetic number, because the mean of its divisors is an integer number (6982653600).

Almost surely, 2^{1640569713090} is an apocalyptic number.

1640569713090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1640569713090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681338982400).

1640569713090 is an abundant number, since it is smaller than the sum of its proper divisors (3722108251710).

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

1640569713090 is a wasteful number, since it uses less digits than its factorization.

1640569713090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 1640569713090 in words is "one trillion, six hundred forty billion, five hundred sixty-nine million, seven hundred thirteen thousand, ninety".