712406838528 has 864 divisors, whose sum is σ = 2736241643520. Its totient is φ = 180696821760.

The previous prime is 712406838503. The next prime is 712406838589. The reversal of 712406838528 is 825838604217.

712406838528 is a `hidden beast` number, since 7 + 1 + 24 + 0 + 68 + 38 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160197201 + ... + 160201647.

Almost surely, 2^712406838528 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 712406838528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368120821760).

712406838528 is an abundant number, since it is smaller than the sum of its proper divisors (2023834804992).

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

712406838528 is a wasteful number, since it uses less digits than its factorization.

712406838528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4540 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 712406838528 in words is "seven hundred twelve billion, four hundred six million, eight hundred thirty-eight thousand, five hundred twenty-eight".