712743600096 has 288 divisors, whose sum is σ = 2239493308416. Its totient is φ = 215005190400.

The previous prime is 712743600067. The next prime is 712743600113. The reversal of 712743600096 is 690006347217.

712743600096 is a `hidden beast` number, since 7 + 127 + 436 + 0 + 0 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87011361 + ... + 87019551.

It is an arithmetic number, because the mean of its divisors is an integer number (7776018432).

Almost surely, 2^712743600096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712743600096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119746654208).

712743600096 is an abundant number, since it is smaller than the sum of its proper divisors (1526749708320).

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

712743600096 is a wasteful number, since it uses less digits than its factorization.

712743600096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8467 (or 8434 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 712743600096 in words is "seven hundred twelve billion, seven hundred forty-three million, six hundred thousand, ninety-six".