715606824960 has 960 divisors, whose sum is σ = 2652364915200. Its totient is φ = 184462147584.

The previous prime is 715606824953. The next prime is 715606824971. The reversal of 715606824960 is 69428606517.

715606824960 is a `hidden beast` number, since 7 + 1 + 5 + 606 + 8 + 24 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 715606824897 and 715606824906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4390225839 + ... + 4390226001.

It is an arithmetic number, because the mean of its divisors is an integer number (2762880120).

Almost surely, 2^715606824960 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 715606824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326182457600).

715606824960 is an abundant number, since it is smaller than the sum of its proper divisors (1936758090240).

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

715606824960 is a wasteful number, since it uses less digits than its factorization.

715606824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 715606824960 in words is "seven hundred fifteen billion, six hundred six million, eight hundred twenty-four thousand, nine hundred sixty".