714509975040 has 640 divisors, whose sum is σ = 2466002880000. Its totient is φ = 175940960256.

The previous prime is 714509974973. The next prime is 714509975041. The reversal of 714509975040 is 40579905417.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×714509975040² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (714509975041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1282782442 + ... + 1282782998.

It is an arithmetic number, because the mean of its divisors is an integer number (3853129500).

Almost surely, 2^714509975040 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 714509975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233001440000).

714509975040 is an abundant number, since it is smaller than the sum of its proper divisors (1751492904960).

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

714509975040 is a wasteful number, since it uses less digits than its factorization.

714509975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 714509975040 in words is "seven hundred fourteen billion, five hundred nine million, nine hundred seventy-five thousand, forty".