7873669440 has 504 divisors, whose sum is σ = 33529511808. Its totient is φ = 1660538880.

The previous prime is 7873669417. The next prime is 7873669469. The reversal of 7873669440 is 449663787.

It is a happy number.

7873669440 is a `hidden beast` number, since 78 + 73 + 6 + 69 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3405885 + ... + 3408195.

Almost surely, 2^7873669440 is an apocalyptic number.

7873669440 is a gapful number since it is divisible by the number (70) 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 7873669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16764755904).

7873669440 is an abundant number, since it is smaller than the sum of its proper divisors (25655842368).

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

7873669440 is a wasteful number, since it uses less digits than its factorization.

7873669440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 7873669440 is about 88733.6995734991. The cubic root of 7873669440 is about 1989.4165473860.

The spelling of 7873669440 in words is "seven billion, eight hundred seventy-three million, six hundred sixty-nine thousand, four hundred forty".