712402403328 has 1296 divisors, whose sum is σ = 2784738797568. Its totient is φ = 171284889600.

The previous prime is 712402403309. The next prime is 712402403329. The reversal of 712402403328 is 823304204217.

It is a happy number.

712402403328 is a `hidden beast` number, since 7 + 1 + 240 + 2 + 403 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 712402403292 and 712402403301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712402403329) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22980722673 + ... + 22980722703.

It is an arithmetic number, because the mean of its divisors is an integer number (2148718208).

Almost surely, 2^712402403328 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 712402403328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392369398784).

712402403328 is an abundant number, since it is smaller than the sum of its proper divisors (2072336394240).

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

712402403328 is a wasteful number, since it uses less digits than its factorization.

712402403328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 712402403328 in words is "seven hundred twelve billion, four hundred two million, four hundred three thousand, three hundred twenty-eight".