712946707200 has 3240 divisors, whose sum is σ = 3524141440512. Its totient is φ = 140460687360.

The previous prime is 712946707199. The next prime is 712946707201. The reversal of 712946707200 is 2707649217.

It is an interprime number because it is at equal distance from previous prime (712946707199) and next prime (712946707201).

It is a tau number, because it is divible by the number of its divisors (3240).

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 (712946707201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5613753537 + ... + 5613753663.

Almost surely, 2^712946707200 is an apocalyptic number.

712946707200 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 712946707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762070720256).

712946707200 is an abundant number, since it is smaller than the sum of its proper divisors (2811194733312).

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

712946707200 is a wasteful number, since it uses less digits than its factorization.

712946707200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 712946707200 in words is "seven hundred twelve billion, nine hundred forty-six million, seven hundred seven thousand, two hundred".