709949560320 has 2560 divisors, whose sum is σ = 3505695621120. Its totient is φ = 131383296000.

The previous prime is 709949560291. The next prime is 709949560337. The reversal of 709949560320 is 23065949907.

709949560320 is a `hidden beast` number, since 7 + 0 + 9 + 9 + 4 + 9 + 5 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×709949560320² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2144862555 + ... + 2144862885.

It is an arithmetic number, because the mean of its divisors is an integer number (1369412352).

Almost surely, 2^709949560320 is an apocalyptic number.

709949560320 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 709949560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752847810560).

709949560320 is an abundant number, since it is smaller than the sum of its proper divisors (2795746060800).

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

709949560320 is a wasteful number, since it uses less digits than its factorization.

709949560320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 709949560320 in words is "seven hundred nine billion, nine hundred forty-nine million, five hundred sixty thousand, three hundred twenty".