727406867880 has 576 divisors, whose sum is σ = 3130503292800. Its totient is φ = 144576875520.

The previous prime is 727406867851. The next prime is 727406867893. The reversal of 727406867880 is 88768604727.

727406867880 is a `hidden beast` number, since 7 + 2 + 7 + 406 + 86 + 78 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4381426 + ... + 4544414.

It is an arithmetic number, because the mean of its divisors is an integer number (5434901550).

Almost surely, 2^727406867880 is an apocalyptic number.

727406867880 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 727406867880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565251646400).

727406867880 is an abundant number, since it is smaller than the sum of its proper divisors (2403096424920).

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

727406867880 is a wasteful number, since it uses less digits than its factorization.

727406867880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163054 (or 163040 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 727406867880 in words is "seven hundred twenty-seven billion, four hundred six million, eight hundred sixty-seven thousand, eight hundred eighty".