1721486407680 has 768 divisors, whose sum is σ = 6614542771200. Its totient is φ = 422178324480.

The previous prime is 1721486407651. The next prime is 1721486407699. The reversal of 1721486407680 is 867046841271.

1721486407680 is a `hidden beast` number, since 1 + 72 + 14 + 86 + 407 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1189692717 + ... + 1189694163.

It is an arithmetic number, because the mean of its divisors is an integer number (8612685900).

Almost surely, 2^{1721486407680} is an apocalyptic number.

1721486407680 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 1721486407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307271385600).

1721486407680 is an abundant number, since it is smaller than the sum of its proper divisors (4893056363520).

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

1721486407680 is a wasteful number, since it uses less digits than its factorization.

1721486407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 1721486407680 in words is "one trillion, seven hundred twenty-one billion, four hundred eighty-six million, four hundred seven thousand, six hundred eighty".