16764281856 has 704 divisors, whose sum is σ = 61626163200. Its totient is φ = 4395368448.

The previous prime is 16764281839. The next prime is 16764281861. The reversal of 16764281856 is 65818246761.

16764281856 is a `hidden beast` number, since 167 + 6 + 428 + 1 + 8 + 56 = 666.

It is a super-2 number, since 2×16764281856² (a number of 21 digits) contains 22 as substring.

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

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, 172827600 + ... + 172827696.

Almost surely, 2^16764281856 is an apocalyptic number.

16764281856 is a gapful number since it is divisible by the number (16) 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 16764281856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30813081600).

16764281856 is an abundant number, since it is smaller than the sum of its proper divisors (44861881344).

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

16764281856 is a wasteful number, since it uses less digits than its factorization.

16764281856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 175 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 16764281856 in words is "sixteen billion, seven hundred sixty-four million, two hundred eighty-one thousand, eight hundred fifty-six".