16596746997264 has 640 divisors, whose sum is σ = 57721876992000. Its totient is φ = 4460173258752.

The previous prime is 16596746997263. The next prime is 16596746997277. The reversal of 16596746997264 is 46279964769561.

16596746997264 is a `hidden beast` number, since 1 + 6 + 5 + 9 + 6 + 7 + 469 + 97 + 2 + 64 = 666.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

Its product of digits (7407106560) is a multiple of the sum of its prime divisors (3840).

It is not an unprimeable number, because it can be changed into a prime (16596746997263) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5207637879 + ... + 5207641065.

It is an arithmetic number, because the mean of its divisors is an integer number (90190432800).

Almost surely, 2^{16596746997264} is an apocalyptic number.

16596746997264 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 16596746997264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28860938496000).

16596746997264 is an abundant number, since it is smaller than the sum of its proper divisors (41125129994736).

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

16596746997264 is a wasteful number, since it uses less digits than its factorization.

16596746997264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852 (or 3840 counting only the distinct ones).

The product of its digits is 7407106560, while the sum is 81.

The spelling of 16596746997264 in words is "sixteen trillion, five hundred ninety-six billion, seven hundred forty-six million, nine hundred ninety-seven thousand, two hundred sixty-four".