6785972424 has 256 divisors, whose sum is σ = 24003993600. Its totient is φ = 1724889600.

The previous prime is 6785972387. The next prime is 6785972429. The reversal of 6785972424 is 4242795876.

6785972424 is a `hidden beast` number, since 6 + 7 + 8 + 597 + 2 + 42 + 4 = 666.

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 (6785972429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 777364 + ... + 786044.

It is an arithmetic number, because the mean of its divisors is an integer number (93765600).

Almost surely, 2^6785972424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6785972424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12001996800).

6785972424 is an abundant number, since it is smaller than the sum of its proper divisors (17218021176).

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

6785972424 is a wasteful number, since it uses less digits than its factorization.

6785972424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8761 (or 8751 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 6785972424 is about 82377.0139298579. The cubic root of 6785972424 is about 1893.2328444925.

The spelling of 6785972424 in words is "six billion, seven hundred eighty-five million, nine hundred seventy-two thousand, four hundred twenty-four".