726514607664 has 180 divisors, whose sum is σ = 2239867748664. Its totient is φ = 227925798912.

The previous prime is 726514607659. The next prime is 726514607671. The reversal of 726514607664 is 466706415627.

726514607664 is a `hidden beast` number, since 7 + 2 + 6 + 51 + 460 + 76 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 726514607664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 800344 + ... + 1446920.

Almost surely, 2^726514607664 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 726514607664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119933874332).

726514607664 is an abundant number, since it is smaller than the sum of its proper divisors (1513353141000).

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

726514607664 is a wasteful number, since it uses less digits than its factorization.

726514607664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646634 (or 646599 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 726514607664 in words is "seven hundred twenty-six billion, five hundred fourteen million, six hundred seven thousand, six hundred sixty-four".