21416676624 has 120 divisors (see below), whose sum is σ = 69269316480. Its totient is φ = 6050271744.

The previous prime is 21416676613. The next prime is 21416676629. The reversal of 21416676624 is 42667661412.

21416676624 is a `hidden beast` number, since 2 + 1 + 4 + 16 + 6 + 7 + 6 + 624 = 666.

It is a super-3 number, since 3×21416676624³ (a number of 32 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21416676624.

It is not an unprimeable number, because it can be changed into a prime (21416676629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29652 + ... + 209075.

It is an arithmetic number, because the mean of its divisors is an integer number (577244304).

Almost surely, 2^21416676624 is an apocalyptic number.

21416676624 is a gapful number since it is divisible by the number (24) 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 21416676624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34634658240).

21416676624 is an abundant number, since it is smaller than the sum of its proper divisors (47852639856).

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

21416676624 is a wasteful number, since it uses less digits than its factorization.

21416676624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238837 (or 238828 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 21416676624 in words is "twenty-one billion, four hundred sixteen million, six hundred seventy-six thousand, six hundred twenty-four".