16402972608 has 448 divisors, whose sum is σ = 54872778240. Its totient is φ = 4760985600.

The previous prime is 16402972589. The next prime is 16402972627. The reversal of 16402972608 is 80627920461.

It is a happy number.

16402972608 is a `hidden beast` number, since 16 + 4 + 0 + 29 + 7 + 2 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (16402972589) and next prime (16402972627).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 58373428 + ... + 58373708.

It is an arithmetic number, because the mean of its divisors is an integer number (122483880).

Almost surely, 2^16402972608 is an apocalyptic number.

16402972608 is a gapful number since it is divisible by the number (18) 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 16402972608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27436389120).

16402972608 is an abundant number, since it is smaller than the sum of its proper divisors (38469805632).

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

16402972608 is a wasteful number, since it uses less digits than its factorization.

16402972608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 16402972608 in words is "sixteen billion, four hundred two million, nine hundred seventy-two thousand, six hundred eight".