1869680640 has 104 divisors (see below), whose sum is σ = 5982444288. Its totient is φ = 498565120.

The previous prime is 1869680639. The next prime is 1869680669. The reversal of 1869680640 is 460869681.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1869680640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46225 + ... + 76655.

Almost surely, 2^1869680640 is an apocalyptic number.

1869680640 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 1869680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991222144).

1869680640 is an abundant number, since it is smaller than the sum of its proper divisors (4112763648).

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

1869680640 is an equidigital number, since it uses as much as digits as its factorization.

1869680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30463 (or 30441 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 1869680640 is about 43239.8038848467. The cubic root of 1869680640 is about 1231.9388286938.

The spelling of 1869680640 in words is "one billion, eight hundred sixty-nine million, six hundred eighty thousand, six hundred forty".