714425624640 has 1680 divisors, whose sum is σ = 3284964004608. Its totient is φ = 144039886848.

The previous prime is 714425624629. The next prime is 714425624641. The reversal of 714425624640 is 46426524417.

It is a happy number.

714425624640 is a `hidden beast` number, since 7 + 1 + 4 + 4 + 2 + 562 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is not an unprimeable number, because it can be changed into a prime (714425624641) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 705256774 + ... + 705257786.

Almost surely, 2^714425624640 is an apocalyptic number.

714425624640 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 714425624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642482002304).

714425624640 is an abundant number, since it is smaller than the sum of its proper divisors (2570538379968).

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

714425624640 is a wasteful number, since it uses less digits than its factorization.

714425624640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 714425624640 in words is "seven hundred fourteen billion, four hundred twenty-five million, six hundred twenty-four thousand, six hundred forty".