16868874240 has 768 divisors, whose sum is σ = 65879049600. Its totient is φ = 4076863488.

The previous prime is 16868874233. The next prime is 16868874247. The reversal of 16868874240 is 4247886861.

It is an interprime number because it is at equal distance from previous prime (16868874233) and next prime (16868874247).

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16868874247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173905872 + ... + 173905968.

Almost surely, 2^16868874240 is an apocalyptic number.

16868874240 is a gapful number since it is divisible by the number (10) 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 16868874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32939524800).

16868874240 is an abundant number, since it is smaller than the sum of its proper divisors (49010175360).

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

16868874240 is a wasteful number, since it uses less digits than its factorization.

16868874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 16868874240 in words is "sixteen billion, eight hundred sixty-eight million, eight hundred seventy-four thousand, two hundred forty".