16738430976 has 312 divisors, whose sum is σ = 51091395264. Its totient is φ = 5474304000.

The previous prime is 16738430971. The next prime is 16738430977. The reversal of 16738430976 is 67903483761.

16738430976 is a `hidden beast` number, since 167 + 384 + 30 + 9 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (16738430971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66686851 + ... + 66687101.

It is an arithmetic number, because the mean of its divisors is an integer number (163754472).

Almost surely, 2^16738430976 is an apocalyptic number.

16738430976 is a gapful number since it is divisible by the number (16) 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 16738430976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25545697632).

16738430976 is an abundant number, since it is smaller than the sum of its proper divisors (34352964288).

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

16738430976 is an frugal number, since it uses more digits than its factorization.

16738430976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 16738430976 in words is "sixteen billion, seven hundred thirty-eight million, four hundred thirty thousand, nine hundred seventy-six".