714197606400 has 1008 divisors, whose sum is σ = 2697561345024. Its totient is φ = 187280916480.

The previous prime is 714197606399. The next prime is 714197606411. The reversal of 714197606400 is 4606791417.

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 71 ways as a sum of consecutive naturals, for example, 5623603137 + ... + 5623603263.

It is an arithmetic number, because the mean of its divisors is an integer number (2676152128).

Almost surely, 2^714197606400 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 714197606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348780672512).

714197606400 is an abundant number, since it is smaller than the sum of its proper divisors (1983363738624).

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

714197606400 is a wasteful number, since it uses less digits than its factorization.

714197606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 714197606400 in words is "seven hundred fourteen billion, one hundred ninety-seven million, six hundred six thousand, four hundred".