6932802240 has 504 divisors, whose sum is σ = 29880854640. Its totient is φ = 1462358016.

The previous prime is 6932802229. The next prime is 6932802269. The reversal of 6932802240 is 422082396.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6932802195 and 6932802204.

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, 1832671 + ... + 1836449.

It is an arithmetic number, because the mean of its divisors is an integer number (59287410).

Almost surely, 2^6932802240 is an apocalyptic number.

6932802240 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 6932802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14940427320).

6932802240 is an abundant number, since it is smaller than the sum of its proper divisors (22948052400).

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

6932802240 is a wasteful number, since it uses less digits than its factorization.

6932802240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6932802240 is about 83263.4508052603. The cubic root of 6932802240 is about 1906.7903147897.

The spelling of 6932802240 in words is "six billion, nine hundred thirty-two million, eight hundred two thousand, two hundred forty".