714717870900 has 288 divisors, whose sum is σ = 2390067025920. Its totient is φ = 162973440000.

The previous prime is 714717870869. The next prime is 714717870947. The reversal of 714717870900 is 9078717417.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131888391 + ... + 131893809.

It is an arithmetic number, because the mean of its divisors is an integer number (8298843840).

Almost surely, 2^714717870900 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 714717870900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195033512960).

714717870900 is an abundant number, since it is smaller than the sum of its proper divisors (1675349155020).

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

714717870900 is a wasteful number, since it uses less digits than its factorization.

714717870900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7815 (or 7808 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 51.

The spelling of 714717870900 in words is "seven hundred fourteen billion, seven hundred seventeen million, eight hundred seventy thousand, nine hundred".