1726460563968 has 480 divisors, whose sum is σ = 6008679705600. Its totient is φ = 466184429568.

The previous prime is 1726460563943. The next prime is 1726460563981. The reversal of 1726460563968 is 8693650646271.

1726460563968 is a `hidden beast` number, since 1 + 7 + 2 + 6 + 4 + 6 + 0 + 563 + 9 + 68 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271495573 + ... + 271501931.

It is an arithmetic number, because the mean of its divisors is an integer number (12518082720).

It is a 1-persistent number, because it is pandigital, but 2⋅1726460563968 = 3452921127936 is not.

Almost surely, 2^{1726460563968} is an apocalyptic number.

1726460563968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1726460563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004339852800).

1726460563968 is an abundant number, since it is smaller than the sum of its proper divisors (4282219141632).

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

1726460563968 is a wasteful number, since it uses less digits than its factorization.

1726460563968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6852 (or 6833 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 1726460563968 in words is "one trillion, seven hundred twenty-six billion, four hundred sixty million, five hundred sixty-three thousand, nine hundred sixty-eight".