6787249416 has 128 divisors (see below), whose sum is σ = 19070726400. Its totient is φ = 2236515840.

The previous prime is 6787249411. The next prime is 6787249433. The reversal of 6787249416 is 6149427876.

6787249416 is a `hidden beast` number, since 6 + 78 + 72 + 494 + 16 = 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 (6787249411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8918476 + ... + 8919236.

It is an arithmetic number, because the mean of its divisors is an integer number (148990050).

Almost surely, 2^6787249416 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 6787249416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9535363200).

6787249416 is an abundant number, since it is smaller than the sum of its proper divisors (12283476984).

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

6787249416 is a wasteful number, since it uses less digits than its factorization.

6787249416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1186 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 6787249416 is about 82384.7644652821. The cubic root of 6787249416 is about 1893.3515939465.

The spelling of 6787249416 in words is "six billion, seven hundred eighty-seven million, two hundred forty-nine thousand, four hundred sixteen".