712851696000 has 1536 divisors, whose sum is σ = 2830981570560. Its totient is φ = 171325440000.

The previous prime is 712851695993. The next prime is 712851696001. The reversal of 712851696000 is 696158217.

712851696000 is a `hidden beast` number, since 7 + 1 + 28 + 5 + 16 + 9 + 600 + 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 not an unprimeable number, because it can be changed into a prime (712851696001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5441615935 + ... + 5441616065.

It is an arithmetic number, because the mean of its divisors is an integer number (1843086960).

Almost surely, 2^712851696000 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 712851696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415490785280).

712851696000 is an abundant number, since it is smaller than the sum of its proper divisors (2118129874560).

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

712851696000 is a wasteful number, since it uses less digits than its factorization.

712851696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 712851696000 in words is "seven hundred twelve billion, eight hundred fifty-one million, six hundred ninety-six thousand".