714200497920 has 864 divisors, whose sum is σ = 3123670822272. Its totient is φ = 146607833088.

The previous prime is 714200497919. The next prime is 714200497931. The reversal of 714200497920 is 29794002417.

It is a happy number.

714200497920 is a `hidden beast` number, since 71 + 4 + 2 + 0 + 0 + 497 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38778634 + ... + 38797046.

It is an arithmetic number, because the mean of its divisors is an integer number (3615359748).

Almost surely, 2^714200497920 is an apocalyptic number.

714200497920 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 714200497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561835411136).

714200497920 is an abundant number, since it is smaller than the sum of its proper divisors (2409470324352).

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

714200497920 is a wasteful number, since it uses less digits than its factorization.

714200497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18497 (or 18480 counting only the distinct ones).

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

The spelling of 714200497920 in words is "seven hundred fourteen billion, two hundred million, four hundred ninety-seven thousand, nine hundred twenty".