16997340672 has 560 divisors, whose sum is σ = 57105595008. Its totient is φ = 5016453120.

The previous prime is 16997340637. The next prime is 16997340691. The reversal of 16997340672 is 27604379961.

It is a happy number.

16997340672 is a `hidden beast` number, since 16 + 99 + 73 + 406 + 72 = 666.

16997340672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×16997340672³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 150418888 + ... + 150419000.

Almost surely, 2^16997340672 is an apocalyptic number.

16997340672 is a gapful number since it is divisible by the number (12) 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 16997340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28552797504).

16997340672 is an abundant number, since it is smaller than the sum of its proper divisors (40108254336).

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

16997340672 is an equidigital number, since it uses as much as digits as its factorization.

16997340672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 16997340672 in words is "sixteen billion, nine hundred ninety-seven million, three hundred forty thousand, six hundred seventy-two".