712306965934080 has 4992 divisors, whose sum is σ = 3069811457556480. Its totient is φ = 156547735879680.

The previous prime is 712306965933949. The next prime is 712306965934141. The reversal of 712306965934080 is 80439569603217.

712306965934080 is a `hidden beast` number, since 7 + 1 + 2 + 30 + 6 + 9 + 6 + 593 + 4 + 0 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 712306965933999 and 712306965934017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3194201640849 + ... + 3194201641071.

It is an arithmetic number, because the mean of its divisors is an integer number (614946205440).

It is a 1-persistent number, because it is pandigital, but 2⋅712306965934080 = 1424613931868160 is not.

Almost surely, 2^{712306965934080} 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 712306965934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534905728778240).

712306965934080 is an abundant number, since it is smaller than the sum of its proper divisors (2357504491622400).

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

712306965934080 is a wasteful number, since it uses less digits than its factorization.

712306965934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 712306965934080 in words is "seven hundred twelve trillion, three hundred six billion, nine hundred sixty-five million, nine hundred thirty-four thousand, eighty".