713643840 has 504 divisors, whose sum is σ = 3082945320. Its totient is φ = 150183936.

The previous prime is 713643787. The next prime is 713643859. The reversal of 713643840 is 48346317.

713643840 is a `hidden beast` number, since 7 + 1 + 3 + 643 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 713530944 = 336^2 + 26712^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 713643795 and 713643804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1834366 + ... + 1834754.

It is an arithmetic number, because the mean of its divisors is an integer number (6116955).

Almost surely, 2^713643840 is an apocalyptic number.

713643840 is a gapful number since it is divisible by the number (70) 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 713643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541472660).

713643840 is an abundant number, since it is smaller than the sum of its proper divisors (2369301480).

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

713643840 is a wasteful number, since it uses less digits than its factorization.

713643840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 713643840 is about 26714.1131239650. The cubic root of 713643840 is about 893.6356937942.

The spelling of 713643840 in words is "seven hundred thirteen million, six hundred forty-three thousand, eight hundred forty".