16396730144640 has 384 divisors, whose sum is σ = 61081706275200. Its totient is φ = 4037610110976.

The previous prime is 16396730144633. The next prime is 16396730144687. The reversal of 16396730144640 is 4644103769361.

16396730144640 is a `hidden beast` number, since 1 + 6 + 3 + 96 + 73 + 0 + 1 + 446 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×16396730144640² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3610041 + ... + 6769479.

It is an arithmetic number, because the mean of its divisors is an integer number (159066943425).

Almost surely, 2^{16396730144640} is an apocalyptic number.

16396730144640 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 16396730144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30540853137600).

16396730144640 is an abundant number, since it is smaller than the sum of its proper divisors (44684976130560).

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

16396730144640 is a wasteful number, since it uses less digits than its factorization.

16396730144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159534 (or 3159519 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 16396730144640 in words is "sixteen trillion, three hundred ninety-six billion, seven hundred thirty million, one hundred forty-four thousand, six hundred forty".