712464629760 has 768 divisors, whose sum is σ = 2745895528800. Its totient is φ = 175191883776.

The previous prime is 712464629753. The next prime is 712464629827. The reversal of 712464629760 is 67926464217.

712464629760 is a `hidden beast` number, since 7 + 1 + 2 + 4 + 6 + 4 + 629 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a junction number, because it is equal to n+sod(n) for n = 712464629697 and 712464629706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 747601444 + ... + 747602396.

Almost surely, 2^712464629760 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 712464629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372947764400).

712464629760 is an abundant number, since it is smaller than the sum of its proper divisors (2033430899040).

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

712464629760 is an equidigital number, since it uses as much as digits as its factorization.

712464629760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 712464629760 in words is "seven hundred twelve billion, four hundred sixty-four million, six hundred twenty-nine thousand, seven hundred sixty".