726978932064 has 2016 divisors, whose sum is σ = 3052051228800. Its totient is φ = 167424122880.

The previous prime is 726978932051. The next prime is 726978932123. The reversal of 726978932064 is 460239879627.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a junction number, because it is equal to n+sod(n) for n = 726978931992 and 726978932010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 4061334727 + ... + 4061334905.

It is an arithmetic number, because the mean of its divisors is an integer number (1513914300).

Almost surely, 2^726978932064 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 726978932064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526025614400).

726978932064 is an abundant number, since it is smaller than the sum of its proper divisors (2325072296736).

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

726978932064 is a wasteful number, since it uses less digits than its factorization.

726978932064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 726978932064 in words is "seven hundred twenty-six billion, nine hundred seventy-eight million, nine hundred thirty-two thousand, sixty-four".