712620464526432 has 2688 divisors, whose sum is σ = 2814912202798080. Its totient is φ = 171833585172480.

The previous prime is 712620464526403. The next prime is 712620464526457. The reversal of 712620464526432 is 234625464026217.

712620464526432 is a `hidden beast` number, since 7 + 1 + 2 + 6 + 20 + 4 + 64 + 526 + 4 + 32 = 666.

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 447 ways as a sum of consecutive naturals, for example, 1154976441388 + ... + 1154976442004.

It is an arithmetic number, because the mean of its divisors is an integer number (1047214361160).

Almost surely, 2^{712620464526432} is an apocalyptic number.

712620464526432 is a gapful number since it is divisible by the number (72) 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 712620464526432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407456101399040).

712620464526432 is an abundant number, since it is smaller than the sum of its proper divisors (2102291738271648).

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

712620464526432 is a wasteful number, since it uses less digits than its factorization.

712620464526432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 712620464526432 in words is "seven hundred twelve trillion, six hundred twenty billion, four hundred sixty-four million, five hundred twenty-six thousand, four hundred thirty-two".