6873599040 has 224 divisors, whose sum is σ = 27209032704. Its totient is φ = 1428264960.

The previous prime is 6873599027. The next prime is 6873599041. The reversal of 6873599040 is 409953786.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (6873599041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27427 + ... + 120413.

It is an arithmetic number, because the mean of its divisors is an integer number (121468896).

Almost surely, 2^6873599040 is an apocalyptic number.

6873599040 is a gapful number since it is divisible by the number (60) 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 6873599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13604516352).

6873599040 is an abundant number, since it is smaller than the sum of its proper divisors (20335433664).

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

6873599040 is a wasteful number, since it uses less digits than its factorization.

6873599040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93025 (or 93015 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 6873599040 is about 82907.1712217948. The cubic root of 6873599040 is about 1901.3470631998.

The spelling of 6873599040 in words is "six billion, eight hundred seventy-three million, five hundred ninety-nine thousand, forty".