6344876772 has 288 divisors, whose sum is σ = 18901593984. Its totient is φ = 1847577600.

The previous prime is 6344876767. The next prime is 6344876779. The reversal of 6344876772 is 2776784436.

6344876772 is a `hidden beast` number, since 6 + 34 + 487 + 67 + 72 = 666.

It is a super-2 number, since 2×6344876772² = 80514922503730279968, which contains 22 as substring.

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

Its product of digits (9483264) is a multiple of the sum of its prime factors (441).

It is not an unprimeable number, because it can be changed into a prime (6344876779) 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 95 ways as a sum of consecutive naturals, for example, 19168647 + ... + 19168977.

Almost surely, 2^6344876772 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 6344876772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9450796992).

6344876772 is an abundant number, since it is smaller than the sum of its proper divisors (12556717212).

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

6344876772 is a wasteful number, since it uses less digits than its factorization.

6344876772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 427 counting only the distinct ones).

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

The square root of 6344876772 is about 79654.7347745255. The cubic root of 6344876772 is about 1851.2897528744.

The spelling of 6344876772 in words is "six billion, three hundred forty-four million, eight hundred seventy-six thousand, seven hundred seventy-two".