714612869268480 has 5280 divisors, whose sum is σ = 3480444247385952. Its totient is φ = 138409515417600.

The previous prime is 714612869268461. The next prime is 714612869268503. The reversal of 714612869268480 is 84862968216417.

714612869268480 is a `hidden beast` number, since 7 + 1 + 4 + 6 + 1 + 2 + 86 + 9 + 2 + 68 + 480 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 315953184605184 + 398659684663296 = 17775072^2 + 19966464^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 714612869268399 and 714612869268408.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 184131116140 + ... + 184131120020.

Almost surely, 2^{714612869268480} is an apocalyptic number.

714612869268480 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 714612869268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740222123692976).

714612869268480 is an abundant number, since it is smaller than the sum of its proper divisors (2765831378117472).

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

714612869268480 is a wasteful number, since it uses less digits than its factorization.

714612869268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 714612869268480 in words is "seven hundred fourteen trillion, six hundred twelve billion, eight hundred sixty-nine million, two hundred sixty-eight thousand, four hundred eighty".