6936784920 has 448 divisors, whose sum is σ = 26111332800. Its totient is φ = 1646023680.

The previous prime is 6936784919. The next prime is 6936784937. The reversal of 6936784920 is 294876396.

It is a happy number.

6936784920 is a `hidden beast` number, since 6 + 93 + 67 + 8 + 492 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 10993005 + ... + 10993635.

It is an arithmetic number, because the mean of its divisors is an integer number (58284225).

Almost surely, 2^6936784920 is an apocalyptic number.

6936784920 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 6936784920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13055666400).

6936784920 is an abundant number, since it is smaller than the sum of its proper divisors (19174547880).

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

6936784920 is a wasteful number, since it uses less digits than its factorization.

6936784920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 6936784920 is about 83287.3635073172. The cubic root of 6936784920 is about 1907.1553755378.

The spelling of 6936784920 in words is "six billion, nine hundred thirty-six million, seven hundred eighty-four thousand, nine hundred twenty".