727876523520 has 560 divisors, whose sum is σ = 2650257783360. Its totient is φ = 191604621312.

The previous prime is 727876523497. The next prime is 727876523593. The reversal of 727876523520 is 25325678727.

727876523520 is a `hidden beast` number, since 7 + 27 + 8 + 76 + 5 + 23 + 520 = 666.

It is a super-2 number, since 2×727876523520² (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 55 ways as a sum of consecutive naturals, for example, 147430492 + ... + 147435428.

Almost surely, 2^727876523520 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 727876523520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325128891680).

727876523520 is an abundant number, since it is smaller than the sum of its proper divisors (1922381259840).

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

727876523520 is an frugal number, since it uses more digits than its factorization.

727876523520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5057 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 727876523520 in words is "seven hundred twenty-seven billion, eight hundred seventy-six million, five hundred twenty-three thousand, five hundred twenty".