712442715747840 has 3840 divisors, whose sum is σ = 3489622821273600. Its totient is φ = 135720139161600.

The previous prime is 712442715747817. The next prime is 712442715747853. The reversal of 712442715747840 is 48747517244217.

712442715747840 is a `hidden beast` number, since 7 + 1 + 2 + 4 + 4 + 2 + 7 + 157 + 478 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21943579287 + ... + 21943611753.

It is an arithmetic number, because the mean of its divisors is an integer number (908755943040).

Almost surely, 2^{712442715747840} is an apocalyptic number.

712442715747840 is a gapful number since it is divisible by the number (70) 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 712442715747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744811410636800).

712442715747840 is an abundant number, since it is smaller than the sum of its proper divisors (2777180105525760).

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

712442715747840 is a wasteful number, since it uses less digits than its factorization.

712442715747840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32574 (or 32545 counting only the distinct ones).

The product of its (nonzero) digits is 98344960, while the sum is 63.

The spelling of 712442715747840 in words is "seven hundred twelve trillion, four hundred forty-two billion, seven hundred fifteen million, seven hundred forty-seven thousand, eight hundred forty".