6426783972 has 480 divisors, whose sum is σ = 22168903680. Its totient is φ = 1578839040.

The previous prime is 6426783863. The next prime is 6426783977. The reversal of 6426783972 is 2793876246.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6426783977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22709343 + ... + 22709625.

It is an arithmetic number, because the mean of its divisors is an integer number (46185216).

Almost surely, 2^6426783972 is an apocalyptic number.

6426783972 is a gapful number since it is divisible by the number (62) 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 6426783972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11084451840).

6426783972 is an abundant number, since it is smaller than the sum of its proper divisors (15742119708).

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

6426783972 is a wasteful number, since it uses less digits than its factorization.

6426783972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 362 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 6426783972 is about 80167.2250486444. The cubic root of 6426783972 is about 1859.2219326320.

The spelling of 6426783972 in words is "six billion, four hundred twenty-six million, seven hundred eighty-three thousand, nine hundred seventy-two".