713942429760 has 1008 divisors, whose sum is σ = 2970828102528. Its totient is φ = 154070138880.

The previous prime is 713942429731. The next prime is 713942429773. The reversal of 713942429760 is 67924249317.

713942429760 is a `hidden beast` number, since 7 + 1 + 394 + 242 + 9 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×713942429760² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 713942429697 and 713942429706.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 833071252 + ... + 833072108.

Almost surely, 2^713942429760 is an apocalyptic number.

713942429760 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 713942429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485414051264).

713942429760 is an abundant number, since it is smaller than the sum of its proper divisors (2256885672768).

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

713942429760 is a wasteful number, since it uses less digits than its factorization.

713942429760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 713942429760 in words is "seven hundred thirteen billion, nine hundred forty-two million, four hundred twenty-nine thousand, seven hundred sixty".