6674429952 has 144 divisors (see below), whose sum is σ = 19900520640. Its totient is φ = 2152857600.

The previous prime is 6674429947. The next prime is 6674429969. The reversal of 6674429952 is 2599244766.

6674429952 is a `hidden beast` number, since 6 + 67 + 442 + 99 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 565552 + ... + 577232.

It is an arithmetic number, because the mean of its divisors is an integer number (138198060).

Almost surely, 2^6674429952 is an apocalyptic number.

6674429952 is a gapful number since it is divisible by the number (62) 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 6674429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9950260320).

6674429952 is an abundant number, since it is smaller than the sum of its proper divisors (13226090688).

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

6674429952 is a wasteful number, since it uses less digits than its factorization.

6674429952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11740 (or 11717 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 6674429952 is about 81697.1844802500. The cubic root of 6674429952 is about 1882.8023274909.

The spelling of 6674429952 in words is "six billion, six hundred seventy-four million, four hundred twenty-nine thousand, nine hundred fifty-two".