16242670080 has 960 divisors, whose sum is σ = 70923460608. Its totient is φ = 3344302080.

The previous prime is 16242670061. The next prime is 16242670091. The reversal of 16242670080 is 8007624261.

16242670080 is a `hidden beast` number, since 1 + 624 + 26 + 7 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127894977 + ... + 127895103.

Almost surely, 2^16242670080 is an apocalyptic number.

16242670080 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 16242670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35461730304).

16242670080 is an abundant number, since it is smaller than the sum of its proper divisors (54680790528).

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

16242670080 is a wasteful number, since it uses less digits than its factorization.

16242670080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 16242670080 in words is "sixteen billion, two hundred forty-two million, six hundred seventy thousand, eighty".