714768268896 has 360 divisors, whose sum is σ = 2446522875720. Its totient is φ = 203853957120.

The previous prime is 714768268873. The next prime is 714768268897. The reversal of 714768268896 is 698862867417.

714768268896 is a `hidden beast` number, since 7 + 1 + 476 + 8 + 2 + 68 + 8 + 96 = 666.

It is a super-2 number, since 2×714768268896² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (714768268897) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5264715 + ... + 5398773.

It is an arithmetic number, because the mean of its divisors is an integer number (6795896877).

Almost surely, 2^714768268896 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 714768268896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223261437860).

714768268896 is an abundant number, since it is smaller than the sum of its proper divisors (1731754606824).

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

714768268896 is a wasteful number, since it uses less digits than its factorization.

714768268896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134120 (or 134092 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 72.

The spelling of 714768268896 in words is "seven hundred fourteen billion, seven hundred sixty-eight million, two hundred sixty-eight thousand, eight hundred ninety-six".