6782317920 has 240 divisors, whose sum is σ = 27355714848. Its totient is φ = 1550223360.

The previous prime is 6782317873. The next prime is 6782317933. The reversal of 6782317920 is 297132876.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53340 + ... + 128100.

Almost surely, 2^6782317920 is an apocalyptic number.

6782317920 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 6782317920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13677857424).

6782317920 is an abundant number, since it is smaller than the sum of its proper divisors (20573396928).

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

6782317920 is a wasteful number, since it uses less digits than its factorization.

6782317920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74795 (or 74778 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 6782317920 is about 82354.8293665891. The cubic root of 6782317920 is about 1892.8929241903.

The spelling of 6782317920 in words is "six billion, seven hundred eighty-two million, three hundred seventeen thousand, nine hundred twenty".