727067674368 has 720 divisors, whose sum is σ = 2615540336640. Its totient is φ = 196388831232.

The previous prime is 727067674367. The next prime is 727067674373. The reversal of 727067674368 is 863476760727.

It is a happy number.

727067674368 is a `hidden beast` number, since 72 + 70 + 6 + 7 + 67 + 436 + 8 = 666.

It is a super-2 number, since 2×727067674368² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727067674363) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 297124921 + ... + 297127367.

It is an arithmetic number, because the mean of its divisors is an integer number (3632694912).

Almost surely, 2^727067674368 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 727067674368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307770168320).

727067674368 is an abundant number, since it is smaller than the sum of its proper divisors (1888472662272).

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

727067674368 is a wasteful number, since it uses less digits than its factorization.

727067674368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 99574272, while the sum is 63.

The spelling of 727067674368 in words is "seven hundred twenty-seven billion, sixty-seven million, six hundred seventy-four thousand, three hundred sixty-eight".