712277809152 has 768 divisors, whose sum is σ = 2497261777920. Its totient is φ = 175191883776.

The previous prime is 712277809097. The next prime is 712277809157. The reversal of 712277809152 is 251908772217.

It is a happy number.

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

It is a hoax number, since the sum of its digits (51) 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 (51).

It is a junction number, because it is equal to n+sod(n) for n = 712277809095 and 712277809104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712277809157) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1302152943 + ... + 1302153489.

It is an arithmetic number, because the mean of its divisors is an integer number (3251642940).

Almost surely, 2^712277809152 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 712277809152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248630888960).

712277809152 is an abundant number, since it is smaller than the sum of its proper divisors (1784983968768).

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

712277809152 is a wasteful number, since it uses less digits than its factorization.

712277809152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 51.

The spelling of 712277809152 in words is "seven hundred twelve billion, two hundred seventy-seven million, eight hundred nine thousand, one hundred fifty-two".