715983114240 has 416 divisors, whose sum is σ = 2549883200640. Its totient is φ = 190593368064.

The previous prime is 715983114173. The next prime is 715983114241. The reversal of 715983114240 is 42411389517.

715983114240 is a `hidden beast` number, since 7 + 1 + 5 + 98 + 311 + 4 + 240 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (715983114241) 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 31 ways as a sum of consecutive naturals, for example, 620973504 + ... + 620974656.

Almost surely, 2^715983114240 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 715983114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274941600320).

715983114240 is an abundant number, since it is smaller than the sum of its proper divisors (1833900086400).

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

715983114240 is a wasteful number, since it uses less digits than its factorization.

715983114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 715983114240 in words is "seven hundred fifteen billion, nine hundred eighty-three million, one hundred fourteen thousand, two hundred forty".