674653824 has 192 divisors, whose sum is σ = 2201690400. Its totient is φ = 196577280.

The previous prime is 674653817. The next prime is 674653831. The reversal of 674653824 is 428356476.

It is an interprime number because it is at equal distance from previous prime (674653817) and next prime (674653831).

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 674653824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283359 + ... + 285729.

Almost surely, 2^674653824 is an apocalyptic number.

674653824 is a gapful number since it is divisible by the number (64) 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 674653824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100845200).

674653824 is an abundant number, since it is smaller than the sum of its proper divisors (1527036576).

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

674653824 is a wasteful number, since it uses less digits than its factorization.

674653824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2408 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 674653824 is about 25974.0990989101. The cubic root of 674653824 is about 877.0553365965.

It can be divided in two parts, 67465 and 3824, that added together give a square (71289 = 267²).

The spelling of 674653824 in words is "six hundred seventy-four million, six hundred fifty-three thousand, eight hundred twenty-four".