727382149079040 has 6272 divisors, whose sum is σ = 3454986156572160. Its totient is φ = 142657607172096.

The previous prime is 727382149078993. The next prime is 727382149079051. The reversal of 727382149079040 is 40970941283727.

727382149079040 is a `hidden beast` number, since 7 + 2 + 7 + 38 + 2 + 1 + 490 + 79 + 0 + 40 = 666.

It is a super-2 number, since 2×727382149079040² (a number of 31 digits) contains 22 as substring.

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

It is an unprimeable number.

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 447 ways as a sum of consecutive naturals, for example, 3768819425184 + ... + 3768819425376.

Almost surely, 2^{727382149079040} is an apocalyptic number.

727382149079040 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 727382149079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727493078286080).

727382149079040 is an abundant number, since it is smaller than the sum of its proper divisors (2727604007493120).

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

727382149079040 is a wasteful number, since it uses less digits than its factorization.

727382149079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 727382149079040 in words is "seven hundred twenty-seven trillion, three hundred eighty-two billion, one hundred forty-nine million, seventy-nine thousand, forty".