21974274846720 has 832 divisors, whose sum is σ = 90149836707840. Its totient is φ = 4973837156352.

The previous prime is 21974274846683. The next prime is 21974274846739. The reversal of 21974274846720 is 2764847247912.

21974274846720 is a `hidden beast` number, since 2 + 1 + 9 + 74 + 2 + 7 + 484 + 67 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 398656602 + ... + 398711718.

It is an arithmetic number, because the mean of its divisors is an integer number (108353169120).

Almost surely, 2^{21974274846720} is an apocalyptic number.

21974274846720 is a gapful number since it is divisible by the number (20) 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 21974274846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45074918353920).

21974274846720 is an abundant number, since it is smaller than the sum of its proper divisors (68175561861120).

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

21974274846720 is a wasteful number, since it uses less digits than its factorization.

21974274846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55265 (or 55237 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 21974274846720 in words is "twenty-one trillion, nine hundred seventy-four billion, two hundred seventy-four million, eight hundred forty-six thousand, seven hundred twenty".