16632764497440 has 3072 divisors, whose sum is σ = 80569810944000. Its totient is φ = 3105184481280.

The previous prime is 16632764497429. The next prime is 16632764497513. The reversal of 16632764497440 is 4479446723661.

It is a happy number.

16632764497440 is a `hidden beast` number, since 1 + 6 + 6 + 32 + 76 + 4 + 4 + 97 + 440 = 666.

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

It is an unprimeable number.

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 511 ways as a sum of consecutive naturals, for example, 6714881482 + ... + 6714883958.

It is an arithmetic number, because the mean of its divisors is an integer number (26227152000).

Almost surely, 2^{16632764497440} is an apocalyptic number.

16632764497440 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 16632764497440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40284905472000).

16632764497440 is an abundant number, since it is smaller than the sum of its proper divisors (63937046446560).

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

16632764497440 is a wasteful number, since it uses less digits than its factorization.

16632764497440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 16632764497440 in words is "sixteen trillion, six hundred thirty-two billion, seven hundred sixty-four million, four hundred ninety-seven thousand, four hundred forty".