6374224736 has 96 divisors (see below), whose sum is σ = 14166091296. Its totient is φ = 2798080000.

The previous prime is 6374224733. The next prime is 6374224739.

6374224736 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6374224733) and next prime (6374224739).

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (1016064) is a multiple of the sum of its prime factors (4536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6374224733) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1455446 + ... + 1459818.

It is an arithmetic number, because the mean of its divisors is an integer number (147563451).

Almost surely, 2^6374224736 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 6374224736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7083045648).

6374224736 is an abundant number, since it is smaller than the sum of its proper divisors (7791866560).

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

6374224736 is a wasteful number, since it uses less digits than its factorization.

6374224736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 4528 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 44.

The square root of 6374224736 is about 79838.7420742587. The cubic root of 6374224736 is about 1854.1397178711.

The spelling of 6374224736 in words is "six billion, three hundred seventy-four million, two hundred twenty-four thousand, seven hundred thirty-six".