16379665634304 has 2112 divisors, whose sum is σ = 61020466053120. Its totient is φ = 4319166136320.

The previous prime is 16379665634287. The next prime is 16379665634329. The reversal of 16379665634304 is 40343656697361.

16379665634304 is a `hidden beast` number, since 1 + 6 + 3 + 7 + 9 + 66 + 563 + 4 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 128973745089 + ... + 128973745215.

Almost surely, 2^{16379665634304} is an apocalyptic number.

16379665634304 is a gapful number since it is divisible by the number (14) 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 16379665634304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30510233026560).

16379665634304 is an abundant number, since it is smaller than the sum of its proper divisors (44640800418816).

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

16379665634304 is a wasteful number, since it uses less digits than its factorization.

16379665634304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 63.

The spelling of 16379665634304 in words is "sixteen trillion, three hundred seventy-nine billion, six hundred sixty-five million, six hundred thirty-four thousand, three hundred four".