16640701056 has 288 divisors, whose sum is σ = 58983436980. Its totient is φ = 4474552320.

The previous prime is 16640701013. The next prime is 16640701067. The reversal of 16640701056 is 65010704661.

16640701056 is a `hidden beast` number, since 1 + 6 + 640 + 7 + 0 + 1 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14348206656 + 2292494400 = 119784^2 + 47880^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 16640701056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 950946 + ... + 968286.

Almost surely, 2^16640701056 is an apocalyptic number.

16640701056 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 16640701056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29491718490).

16640701056 is an abundant number, since it is smaller than the sum of its proper divisors (42342735924).

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

16640701056 is a wasteful number, since it uses less digits than its factorization.

16640701056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17392 (or 17370 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 16640701056 in words is "sixteen billion, six hundred forty million, seven hundred one thousand, fifty-six".