1715661672480 has 1728 divisors, whose sum is σ = 7372430327808. Its totient is φ = 361358807040.

The previous prime is 1715661672469. The next prime is 1715661672493. The reversal of 1715661672480 is 842761665171.

1715661672480 is a `hidden beast` number, since 1 + 7 + 1 + 566 + 1 + 6 + 72 + 4 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6330854745 + ... + 6330855015.

It is an arithmetic number, because the mean of its divisors is an integer number (4266452736).

Almost surely, 2^{1715661672480} is an apocalyptic number.

1715661672480 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 1715661672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686215163904).

1715661672480 is an abundant number, since it is smaller than the sum of its proper divisors (5656768655328).

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

1715661672480 is a wasteful number, since it uses less digits than its factorization.

1715661672480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 1715661672480 in words is "one trillion, seven hundred fifteen billion, six hundred sixty-one million, six hundred seventy-two thousand, four hundred eighty".