726677432667648 has 1440 divisors, whose sum is σ = 2731515085178880. Its totient is φ = 181854189158400.

The previous prime is 726677432667583. The next prime is 726677432667671. The reversal of 726677432667648 is 846766234776627.

726677432667648 is a `hidden beast` number, since 7 + 2 + 6 + 6 + 77 + 432 + 6 + 6 + 76 + 48 = 666.

It is a super-2 number, since 2×726677432667648² (a number of 31 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 27707213511 + ... + 27707239737.

Almost surely, 2^{726677432667648} 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 726677432667648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365757542589440).

726677432667648 is an abundant number, since it is smaller than the sum of its proper divisors (2004837652511232).

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

726677432667648 is a wasteful number, since it uses less digits than its factorization.

726677432667648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26540 (or 26510 counting only the distinct ones).

The product of its digits is 28677390336, while the sum is 81.

The spelling of 726677432667648 in words is "seven hundred twenty-six trillion, six hundred seventy-seven billion, four hundred thirty-two million, six hundred sixty-seven thousand, six hundred forty-eight".