16584313680 has 160 divisors (see below), whose sum is σ = 62316904320. Its totient is φ = 4020433920.

The previous prime is 16584313679. The next prime is 16584313721. The reversal of 16584313680 is 8631348561.

16584313680 is a `hidden beast` number, since 1 + 6 + 584 + 3 + 1 + 3 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325237 + ... + 372756.

It is an arithmetic number, because the mean of its divisors is an integer number (389480652).

Almost surely, 2^16584313680 is an apocalyptic number.

16584313680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16584313680 is an abundant number, since it is smaller than the sum of its proper divisors (45732590640).

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

16584313680 is a wasteful number, since it uses less digits than its factorization.

16584313680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698026 (or 698014 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 16584313680 in words is "sixteen billion, five hundred eighty-four million, three hundred thirteen thousand, six hundred eighty".