16345782720 has 448 divisors, whose sum is σ = 60405264000. Its totient is φ = 4155604992.

The previous prime is 16345782709. The next prime is 16345782721. The reversal of 16345782720 is 2728754361.

16345782720 is a `hidden beast` number, since 1 + 6 + 3 + 4 + 578 + 2 + 72 + 0 = 666.

It is a super-2 number, since 2×16345782720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16345782721) 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, 22299474 + ... + 22300206.

Almost surely, 2^16345782720 is an apocalyptic number.

16345782720 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 16345782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30202632000).

16345782720 is an abundant number, since it is smaller than the sum of its proper divisors (44059481280).

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

16345782720 is a wasteful number, since it uses less digits than its factorization.

16345782720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 16345782720 in words is "sixteen billion, three hundred forty-five million, seven hundred eighty-two thousand, seven hundred twenty".