1725403680 has 1440 divisors, whose sum is σ = 8759741760. Its totient is φ = 313528320.

The previous prime is 1725403679. The next prime is 1725403703. The reversal of 1725403680 is 863045271.

1725403680 is a `hidden beast` number, since 1 + 7 + 2 + 540 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 90810711 + ... + 90810729.

It is an arithmetic number, because the mean of its divisors is an integer number (6083154).

Almost surely, 2^1725403680 is an apocalyptic number.

1725403680 is a gapful number since it is divisible by the number (10) 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 1725403680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379870880).

1725403680 is an abundant number, since it is smaller than the sum of its proper divisors (7034338080).

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

1725403680 is a wasteful number, since it uses less digits than its factorization.

1725403680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1725403680 is about 41537.9787664253. The cubic root of 1725403680 is about 1199.3986987477.

The spelling of 1725403680 in words is "one billion, seven hundred twenty-five million, four hundred three thousand, six hundred eighty".