21670374726000 has 2880 divisors, whose sum is σ = 105725041164288. Its totient is φ = 4021332480000.

The previous prime is 21670374725983. The next prime is 21670374726083. The reversal of 21670374726000 is 62747307612.

21670374726000 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 0 + 37 + 4 + 7 + 2 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6144136237 + ... + 6144139763.

Almost surely, 2^{21670374726000} is an apocalyptic number.

21670374726000 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 21670374726000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52862520582144).

21670374726000 is an abundant number, since it is smaller than the sum of its proper divisors (84054666438288).

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

21670374726000 is a wasteful number, since it uses less digits than its factorization.

21670374726000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 21670374726000 in words is "twenty-one trillion, six hundred seventy billion, three hundred seventy-four million, seven hundred twenty-six thousand".