714421868160 has 1536 divisors, whose sum is σ = 3150611251200. Its totient is φ = 133929861120.

The previous prime is 714421868101. The next prime is 714421868179. The reversal of 714421868160 is 61868124417.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 993632281 + ... + 993632999.

It is an arithmetic number, because the mean of its divisors is an integer number (2051179200).

Almost surely, 2^714421868160 is an apocalyptic number.

714421868160 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 714421868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575305625600).

714421868160 is an abundant number, since it is smaller than the sum of its proper divisors (2436189383040).

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

714421868160 is a wasteful number, since it uses less digits than its factorization.

714421868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 714421868160 in words is "seven hundred fourteen billion, four hundred twenty-one million, eight hundred sixty-eight thousand, one hundred sixty".