6772437864 has 80 divisors (see below), whose sum is σ = 19024394400. Its totient is φ = 2250898848.

The previous prime is 6772437863. The next prime is 6772437887. The reversal of 6772437864 is 4687342776.

6772437864 is a `hidden beast` number, since 67 + 72 + 437 + 86 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6772437864.

It is not an unprimeable number, because it can be changed into a prime (6772437863) 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 19 ways as a sum of consecutive naturals, for example, 209797 + ... + 239915.

It is an arithmetic number, because the mean of its divisors is an integer number (237804930).

Almost surely, 2^6772437864 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 6772437864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9512197200).

6772437864 is an abundant number, since it is smaller than the sum of its proper divisors (12251956536).

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

6772437864 is a wasteful number, since it uses less digits than its factorization.

6772437864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30484 (or 30471 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The square root of 6772437864 is about 82294.8228262264. The cubic root of 6772437864 is about 1891.9733282195.

The spelling of 6772437864 in words is "six billion, seven hundred seventy-two million, four hundred thirty-seven thousand, eight hundred sixty-four".