1728620976960 has 168 divisors, whose sum is σ = 6295485251016. Its totient is φ = 433849958400.

The previous prime is 1728620976959. The next prime is 1728620977051. The reversal of 1728620976960 is 696790268271.

It can be written as a sum of positive squares in 4 ways, for example, as 53605214784 + 1675015762176 = 231528^2 + 1294224^2 .

It is a super-2 number, since 2×1728620976960² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17604441 + ... + 17702360.

Almost surely, 2^{1728620976960} is an apocalyptic number.

1728620976960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1728620976960 is an abundant number, since it is smaller than the sum of its proper divisors (4566864274056).

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

1728620976960 is a wasteful number, since it uses less digits than its factorization.

1728620976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35306841 (or 35306828 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 1728620976960 in words is "one trillion, seven hundred twenty-eight billion, six hundred twenty million, nine hundred seventy-six thousand, nine hundred sixty".