714741680160 has 720 divisors, whose sum is σ = 2609612691840. Its totient is φ = 184190423040.

The previous prime is 714741680143. The next prime is 714741680179. The reversal of 714741680160 is 61086147417.

714741680160 is a `hidden beast` number, since 7 + 1 + 474 + 16 + 8 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5456043295 + ... + 5456043425.

It is an arithmetic number, because the mean of its divisors is an integer number (3624462072).

Almost surely, 2^714741680160 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 714741680160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304806345920).

714741680160 is an abundant number, since it is smaller than the sum of its proper divisors (1894871011680).

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

714741680160 is a wasteful number, since it uses less digits than its factorization.

714741680160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 714741680160 in words is "seven hundred fourteen billion, seven hundred forty-one million, six hundred eighty thousand, one hundred sixty".