714782880000 has 900 divisors, whose sum is σ = 3044202293440. Its totient is φ = 163358208000.

The previous prime is 714782879981. The next prime is 714782880047. The reversal of 714782880000 is 88287417.

It is a tau number, because it is divible by the number of its divisors (900).

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 99 ways as a sum of consecutive naturals, for example, 90716061 + ... + 90723939.

Almost surely, 2^714782880000 is an apocalyptic number.

714782880000 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 714782880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522101146720).

714782880000 is an abundant number, since it is smaller than the sum of its proper divisors (2329419413440).

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

714782880000 is an frugal number, since it uses more digits than its factorization.

714782880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7934 (or 7896 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 714782880000 in words is "seven hundred fourteen billion, seven hundred eighty-two million, eight hundred eighty thousand".