16964730720 has 480 divisors, whose sum is σ = 70108670016. Its totient is φ = 3782246400.

The previous prime is 16964730719. The next prime is 16964730721. The reversal of 16964730720 is 2703746961.

It is an interprime number because it is at equal distance from previous prime (16964730719) and next prime (16964730721).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×16964730720² (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 (16964730721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3717240 + ... + 3721800.

Almost surely, 2^16964730720 is an apocalyptic number.

16964730720 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 16964730720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35054335008).

16964730720 is an abundant number, since it is smaller than the sum of its proper divisors (53143939296).

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

16964730720 is a wasteful number, since it uses less digits than its factorization.

16964730720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4636 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 16964730720 in words is "sixteen billion, nine hundred sixty-four million, seven hundred thirty thousand, seven hundred twenty".