713378534400 has 2640 divisors, whose sum is σ = 3317024304000. Its totient is φ = 150865182720.

The previous prime is 713378534359. The next prime is 713378534411. The reversal of 713378534400 is 4435873317.

713378534400 is a `hidden beast` number, since 7 + 1 + 3 + 3 + 78 + 534 + 40 + 0 = 666.

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

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12091161571 + ... + 12091161629.

It is an arithmetic number, because the mean of its divisors is an integer number (1256448600).

Almost surely, 2^713378534400 is an apocalyptic number.

713378534400 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 713378534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658512152000).

713378534400 is an abundant number, since it is smaller than the sum of its proper divisors (2603645769600).

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

713378534400 is a wasteful number, since it uses less digits than its factorization.

713378534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 713378534400 in words is "seven hundred thirteen billion, three hundred seventy-eight million, five hundred thirty-four thousand, four hundred".