16677714000 has 320 divisors, whose sum is σ = 59415482880. Its totient is φ = 4003225600.

The previous prime is 16677713971. The next prime is 16677714029. The reversal of 16677714000 is 41777661.

It is an interprime number because it is at equal distance from previous prime (16677713971) and next prime (16677714029).

It is a super-2 number, since 2×16677714000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16677714000.

It is a congruent number.

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, 2342446 + ... + 2349554.

It is an arithmetic number, because the mean of its divisors is an integer number (185673384).

Almost surely, 2^16677714000 is an apocalyptic number.

16677714000 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 16677714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29707741440).

16677714000 is an abundant number, since it is smaller than the sum of its proper divisors (42737768880).

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

16677714000 is a wasteful number, since it uses less digits than its factorization.

16677714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7175 (or 7159 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The spelling of 16677714000 in words is "sixteen billion, six hundred seventy-seven million, seven hundred fourteen thousand".