6938535240 has 576 divisors, whose sum is σ = 28682035200. Its totient is φ = 1441649664.

The previous prime is 6938535217. The next prime is 6938535251. The reversal of 6938535240 is 425358396.

6938535240 is a `hidden beast` number, since 6 + 93 + 8 + 535 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18116089 + ... + 18116471.

It is an arithmetic number, because the mean of its divisors is an integer number (49795200).

Almost surely, 2^6938535240 is an apocalyptic number.

6938535240 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 6938535240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14341017600).

6938535240 is an abundant number, since it is smaller than the sum of its proper divisors (21743499960).

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

6938535240 is a wasteful number, since it uses less digits than its factorization.

6938535240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 6938535240 is about 83297.8705610173. The cubic root of 6938535240 is about 1907.3157693182.

The spelling of 6938535240 in words is "six billion, nine hundred thirty-eight million, five hundred thirty-five thousand, two hundred forty".