713410615782072 has 256 divisors, whose sum is σ = 2143271946816000. Its totient is φ = 218571328972800.

The previous prime is 713410615782031. The next prime is 713410615782083. The reversal of 713410615782072 is 270287516014317.

713410615782072 is a `hidden beast` number, since 7 + 1 + 3 + 4 + 1 + 0 + 61 + 578 + 2 + 0 + 7 + 2 = 666.

713410615782072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×713410615782072² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5453685547 + ... + 5453816357.

It is an arithmetic number, because the mean of its divisors is an integer number (8372156042250).

Almost surely, 2^{713410615782072} is an apocalyptic number.

713410615782072 is a gapful number since it is divisible by the number (72) 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 713410615782072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071635973408000).

713410615782072 is an abundant number, since it is smaller than the sum of its proper divisors (1429861331033928).

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

713410615782072 is a wasteful number, since it uses less digits than its factorization.

713410615782072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139139 (or 139129 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 713410615782072 in words is "seven hundred thirteen trillion, four hundred ten billion, six hundred fifteen million, seven hundred eighty-two thousand, seventy-two".