16776631872 has 1120 divisors, whose sum is σ = 69147074304. Its totient is φ = 3881779200.

The previous prime is 16776631841. The next prime is 16776631877. The reversal of 16776631872 is 27813667761.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (16776631877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 275026722 + ... + 275026782.

Almost surely, 2^16776631872 is an apocalyptic number.

16776631872 is a gapful number since it is divisible by the number (12) 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 16776631872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34573537152).

16776631872 is an abundant number, since it is smaller than the sum of its proper divisors (52370442432).

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

16776631872 is a wasteful number, since it uses less digits than its factorization.

16776631872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The spelling of 16776631872 in words is "sixteen billion, seven hundred seventy-six million, six hundred thirty-one thousand, eight hundred seventy-two".