726848014464 has 1536 divisors, whose sum is σ = 2771371008000. Its totient is φ = 185578905600.

The previous prime is 726848014457. The next prime is 726848014511. The reversal of 726848014464 is 464410848627.

726848014464 is a `hidden beast` number, since 7 + 2 + 68 + 480 + 1 + 44 + 64 = 666.

It is a super-2 number, since 2×726848014464² (a number of 25 digits) contains 22 as substring.

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 726848014464.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3201973519 + ... + 3201973745.

It is an arithmetic number, because the mean of its divisors is an integer number (1804278000).

Almost surely, 2^726848014464 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 726848014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385685504000).

726848014464 is an abundant number, since it is smaller than the sum of its proper divisors (2044522993536).

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

726848014464 is a wasteful number, since it uses less digits than its factorization.

726848014464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 726848014464 in words is "seven hundred twenty-six billion, eight hundred forty-eight million, fourteen thousand, four hundred sixty-four".