6438693240 has 384 divisors, whose sum is σ = 24989852160. Its totient is φ = 1460519424.

The previous prime is 6438693227. The next prime is 6438693241. The reversal of 6438693240 is 423968346.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6438693241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11770647 + ... + 11771193.

It is an arithmetic number, because the mean of its divisors is an integer number (65077740).

Almost surely, 2^6438693240 is an apocalyptic number.

6438693240 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 6438693240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12494926080).

6438693240 is an abundant number, since it is smaller than the sum of its proper divisors (18551158920).

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

6438693240 is a wasteful number, since it uses less digits than its factorization.

6438693240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 6438693240 is about 80241.4683315304. The cubic root of 6438693240 is about 1860.3696455766.

The spelling of 6438693240 in words is "six billion, four hundred thirty-eight million, six hundred ninety-three thousand, two hundred forty".