712257089280 has 576 divisors, whose sum is σ = 2633129856000. Its totient is φ = 162166210560.

The previous prime is 712257089267. The next prime is 712257089293. The reversal of 712257089280 is 82980752217.

It is an interprime number because it is at equal distance from previous prime (712257089267) and next prime (712257089293).

It is a super-2 number, since 2×712257089280² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 509118021 + ... + 509119419.

It is an arithmetic number, because the mean of its divisors is an integer number (4571406000).

Almost surely, 2^712257089280 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 712257089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316564928000).

712257089280 is an abundant number, since it is smaller than the sum of its proper divisors (1920872766720).

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

712257089280 is a wasteful number, since it uses less digits than its factorization.

712257089280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 712257089280 in words is "seven hundred twelve billion, two hundred fifty-seven million, eighty-nine thousand, two hundred eighty".