21674942990568 has 192 divisors, whose sum is σ = 71048793029760. Its totient is φ = 5827467644928.

The previous prime is 21674942990539. The next prime is 21674942990573. The reversal of 21674942990568 is 86509924947612.

21674942990568 is a `hidden beast` number, since 2 + 1 + 67 + 4 + 9 + 429 + 90 + 56 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 21674942990496 and 21674942990505.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46179355 + ... + 46646357.

It is an arithmetic number, because the mean of its divisors is an integer number (370045797030).

Almost surely, 2^{21674942990568} is an apocalyptic number.

21674942990568 is a gapful number since it is divisible by the number (28) 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 21674942990568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35524396514880).

21674942990568 is an abundant number, since it is smaller than the sum of its proper divisors (49373850039192).

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

21674942990568 is a wasteful number, since it uses less digits than its factorization.

21674942990568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472456 (or 472449 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 21674942990568 in words is "twenty-one trillion, six hundred seventy-four billion, nine hundred forty-two million, nine hundred ninety thousand, five hundred sixty-eight".