1726972472448 has 640 divisors, whose sum is σ = 5491252008000. Its totient is φ = 537861316608.

The previous prime is 1726972472431. The next prime is 1726972472453. The reversal of 1726972472448 is 8442742796271.

1726972472448 is a `hidden beast` number, since 1 + 72 + 6 + 97 + 2 + 472 + 4 + 4 + 8 = 666.

It is a super-2 number, since 2×1726972472448² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1188555690 + ... + 1188557142.

Almost surely, 2^{1726972472448} is an apocalyptic number.

1726972472448 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 1726972472448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745626004000).

1726972472448 is an abundant number, since it is smaller than the sum of its proper divisors (3764279535552).

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

1726972472448 is a wasteful number, since it uses less digits than its factorization.

1726972472448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1613 counting only the distinct ones).

The product of its digits is 75866112, while the sum is 63.

The spelling of 1726972472448 in words is "one trillion, seven hundred twenty-six billion, nine hundred seventy-two million, four hundred seventy-two thousand, four hundred forty-eight".