727876341504 has 432 divisors, whose sum is σ = 2362756730880. Its totient is φ = 213972295680.

The previous prime is 727876341503. The next prime is 727876341529. The reversal of 727876341504 is 405143678727.

727876341504 is a `hidden beast` number, since 7 + 2 + 78 + 7 + 63 + 4 + 1 + 504 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727876341503) 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, 73347487 + ... + 73357409.

Almost surely, 2^727876341504 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 727876341504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181378365440).

727876341504 is an abundant number, since it is smaller than the sum of its proper divisors (1634880389376).

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

727876341504 is a wasteful number, since it uses less digits than its factorization.

727876341504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10068 (or 10051 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 727876341504 in words is "seven hundred twenty-seven billion, eight hundred seventy-six million, three hundred forty-one thousand, five hundred four".