713729318400 has 1440 divisors, whose sum is σ = 3103753847040. Its totient is φ = 157361356800.

The previous prime is 713729318377. The next prime is 713729318429. The reversal of 713729318400 is 4813927317.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 2324851047 + ... + 2324851353.

It is an arithmetic number, because the mean of its divisors is an integer number (2155384616).

Almost surely, 2^713729318400 is an apocalyptic number.

713729318400 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 713729318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551876923520).

713729318400 is an abundant number, since it is smaller than the sum of its proper divisors (2390024528640).

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

713729318400 is a wasteful number, since it uses less digits than its factorization.

713729318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 713729318400 in words is "seven hundred thirteen billion, seven hundred twenty-nine million, three hundred eighteen thousand, four hundred".