6782627040 has 288 divisors, whose sum is σ = 24965781120. Its totient is φ = 1543320576.

The previous prime is 6782627029. The next prime is 6782627041. The reversal of 6782627040 is 407262876.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6782626983 and 6782627001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6782627041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6655651 + ... + 6656669.

It is an arithmetic number, because the mean of its divisors is an integer number (86686740).

Almost surely, 2^6782627040 is an apocalyptic number.

6782627040 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 6782627040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12482890560).

6782627040 is an abundant number, since it is smaller than the sum of its proper divisors (18183154080).

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

6782627040 is a wasteful number, since it uses less digits than its factorization.

6782627040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 6782627040 is about 82356.7061021748. The cubic root of 6782627040 is about 1892.9216814273.

The spelling of 6782627040 in words is "six billion, seven hundred eighty-two million, six hundred twenty-seven thousand, forty".