16284701664 has 576 divisors, whose sum is σ = 60232273920. Its totient is φ = 4050984960.

The previous prime is 16284701651. The next prime is 16284701669. The reversal of 16284701664 is 46610748261.

16284701664 is a `hidden beast` number, since 1 + 628 + 4 + 7 + 0 + 16 + 6 + 4 = 666.

16284701664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16284701669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73025457 + ... + 73025679.

It is an arithmetic number, because the mean of its divisors is an integer number (104569920).

Almost surely, 2^16284701664 is an apocalyptic number.

16284701664 is a gapful number since it is divisible by the number (14) 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 16284701664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30116136960).

16284701664 is an abundant number, since it is smaller than the sum of its proper divisors (43947572256).

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

16284701664 is a wasteful number, since it uses less digits than its factorization.

16284701664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 16284701664 in words is "sixteen billion, two hundred eighty-four million, seven hundred one thousand, six hundred sixty-four".