714399751999920 has 640 divisors, whose sum is σ = 2721748356956160. Its totient is φ = 151556594688000.

The previous prime is 714399751999877. The next prime is 714399751999939. The reversal of 714399751999920 is 29999157993417.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 123146185 + ... + 128816855.

It is an arithmetic number, because the mean of its divisors is an integer number (4252731807744).

Almost surely, 2^{714399751999920} is an apocalyptic number.

714399751999920 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 714399751999920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360874178478080).

714399751999920 is an abundant number, since it is smaller than the sum of its proper divisors (2007348604956240).

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

714399751999920 is a wasteful number, since it uses less digits than its factorization.

714399751999920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670825 (or 5670819 counting only the distinct ones).

The product of its (nonzero) digits is 3124873080, while the sum is 84.

The spelling of 714399751999920 in words is "seven hundred fourteen trillion, three hundred ninety-nine billion, seven hundred fifty-one million, nine hundred ninety-nine thousand, nine hundred twenty".