713612229120 has 1440 divisors, whose sum is σ = 3059485805376. Its totient is φ = 158854348800.

The previous prime is 713612229101. The next prime is 713612229139. The reversal of 713612229120 is 21922216317.

713612229120 is a `hidden beast` number, since 7 + 1 + 3 + 612 + 2 + 29 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (713612229101) and next prime (713612229139).

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 (36).

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, 1249758435 + ... + 1249759005.

Almost surely, 2^713612229120 is an apocalyptic number.

713612229120 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 713612229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529742902688).

713612229120 is an abundant number, since it is smaller than the sum of its proper divisors (2345873576256).

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

713612229120 is an equidigital number, since it uses as much as digits as its factorization.

713612229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 713612229120 in words is "seven hundred thirteen billion, six hundred twelve million, two hundred twenty-nine thousand, one hundred twenty".