16379820649920 has 2016 divisors, whose sum is σ = 73023742598400. Its totient is φ = 3080994029568.

The previous prime is 16379820649847. The next prime is 16379820649921. The reversal of 16379820649920 is 2994602897361.

16379820649920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16379820649921) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2567769291 + ... + 2567775669.

Almost surely, 2^{16379820649920} is an apocalyptic number.

16379820649920 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 16379820649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36511871299200).

16379820649920 is an abundant number, since it is smaller than the sum of its proper divisors (56643921948480).

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

16379820649920 is a wasteful number, since it uses less digits than its factorization.

16379820649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6475 (or 6445 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 66.

The spelling of 16379820649920 in words is "sixteen trillion, three hundred seventy-nine billion, eight hundred twenty million, six hundred forty-nine thousand, nine hundred twenty".