713641824 has 288 divisors, whose sum is σ = 2524354560. Its totient is φ = 186624000.

The previous prime is 713641801. The next prime is 713641849. The reversal of 713641824 is 428146317.

713641824 is a `hidden beast` number, since 7 + 1 + 3 + 641 + 8 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1187124 + ... + 1187724.

It is an arithmetic number, because the mean of its divisors is an integer number (8765120).

Almost surely, 2^713641824 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 713641824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262177280).

713641824 is an abundant number, since it is smaller than the sum of its proper divisors (1810712736).

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

713641824 is a wasteful number, since it uses less digits than its factorization.

713641824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 663 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 713641824 is about 26714.0753910743. The cubic root of 713641824 is about 893.6348523048.

The spelling of 713641824 in words is "seven hundred thirteen million, six hundred forty-one thousand, eight hundred twenty-four".