727343653680 has 560 divisors, whose sum is σ = 2924915007744. Its totient is φ = 164686348800.

The previous prime is 727343653643. The next prime is 727343653697. The reversal of 727343653680 is 86356343727.

727343653680 is a `hidden beast` number, since 7 + 2 + 73 + 4 + 36 + 536 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 43673355 + ... + 43690005.

Almost surely, 2^727343653680 is an apocalyptic number.

727343653680 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 727343653680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462457503872).

727343653680 is an abundant number, since it is smaller than the sum of its proper divisors (2197571354064).

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

727343653680 is a wasteful number, since it uses less digits than its factorization.

727343653680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16796 (or 16775 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 727343653680 in words is "seven hundred twenty-seven billion, three hundred forty-three million, six hundred fifty-three thousand, six hundred eighty".