715982120640 has 336 divisors, whose sum is σ = 2636282987520. Its totient is φ = 184768957440.

The previous prime is 715982120639. The next prime is 715982120641. The reversal of 715982120640 is 46021289517.

715982120640 is a `hidden beast` number, since 7 + 1 + 598 + 2 + 12 + 0 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (715982120639) and next prime (715982120641).

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 (715982120641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2262051 + ... + 2559069.

It is an arithmetic number, because the mean of its divisors is an integer number (7846080320).

Almost surely, 2^715982120640 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 715982120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318141493760).

715982120640 is an abundant number, since it is smaller than the sum of its proper divisors (1920300866880).

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

715982120640 is a wasteful number, since it uses less digits than its factorization.

715982120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297082 (or 297060 counting only the distinct ones).

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

The spelling of 715982120640 in words is "seven hundred fifteen billion, nine hundred eighty-two million, one hundred twenty thousand, six hundred forty".