6832618240 has 288 divisors, whose sum is σ = 20457529344. Its totient is φ = 2132213760.

The previous prime is 6832618229. The next prime is 6832618301. The reversal of 6832618240 is 428162386.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 6832618193 and 6832618202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4721197 + ... + 4722643.

It is an arithmetic number, because the mean of its divisors is an integer number (71033088).

Almost surely, 2^6832618240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6832618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10228764672).

6832618240 is an abundant number, since it is smaller than the sum of its proper divisors (13624911104).

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

6832618240 is a wasteful number, since it uses less digits than its factorization.

6832618240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 6832618240 is about 82659.6530358070. The cubic root of 6832618240 is about 1897.5608812095.

The spelling of 6832618240 in words is "six billion, eight hundred thirty-two million, six hundred eighteen thousand, two hundred forty".