16628403264 has 224 divisors, whose sum is σ = 50264202240. Its totient is φ = 4805068800.

The previous prime is 16628403263. The next prime is 16628403271. The reversal of 16628403264 is 46230482661.

It is a super-2 number, since 2×16628403264² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (16628403263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5081949 + ... + 5085219.

It is an arithmetic number, because the mean of its divisors is an integer number (224393760).

Almost surely, 2^16628403264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16628403264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25132101120).

16628403264 is an abundant number, since it is smaller than the sum of its proper divisors (33635798976).

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

16628403264 is a wasteful number, since it uses less digits than its factorization.

16628403264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 16628403264 in words is "sixteen billion, six hundred twenty-eight million, four hundred three thousand, two hundred sixty-four".