712976293260 has 864 divisors, whose sum is σ = 2831009825280. Its totient is φ = 147436692480.

The previous prime is 712976293259. The next prime is 712976293319. The reversal of 712976293260 is 62392679217.

712976293260 is a `hidden beast` number, since 7 + 1 + 2 + 9 + 7 + 629 + 3 + 2 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 = 712976293197 and 712976293206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1560122952 + ... + 1560123408.

Almost surely, 2^712976293260 is an apocalyptic number.

712976293260 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 712976293260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415504912640).

712976293260 is an abundant number, since it is smaller than the sum of its proper divisors (2118033532020).

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

712976293260 is a wasteful number, since it uses less digits than its factorization.

712976293260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 712976293260 in words is "seven hundred twelve billion, nine hundred seventy-six million, two hundred ninety-three thousand, two hundred sixty".