16347381120 has 640 divisors, whose sum is σ = 70260537600. Its totient is φ = 3538391040.

The previous prime is 16347381097. The next prime is 16347381131. The reversal of 16347381120 is 2118374361.

It is a happy number.

16347381120 is a `hidden beast` number, since 1 + 63 + 473 + 8 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6893535 + ... + 6895905.

It is an arithmetic number, because the mean of its divisors is an integer number (109782090).

Almost surely, 2^16347381120 is an apocalyptic number.

16347381120 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 16347381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35130268800).

16347381120 is an abundant number, since it is smaller than the sum of its proper divisors (53913156480).

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

16347381120 is a wasteful number, since it uses less digits than its factorization.

16347381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 16347381120 in words is "sixteen billion, three hundred forty-seven million, three hundred eighty-one thousand, one hundred twenty".