20273327424 has 1008 divisors, whose sum is σ = 78056110080. Its totient is φ = 4985487360.

The previous prime is 20273327413. The next prime is 20273327429. The reversal of 20273327424 is 42472337202.

20273327424 is a `hidden beast` number, since 20 + 273 + 327 + 42 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×20273327424² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20273327429) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 431347369 + ... + 431347415.

Almost surely, 2^20273327424 is an apocalyptic number.

20273327424 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 20273327424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39028055040).

20273327424 is an abundant number, since it is smaller than the sum of its proper divisors (57782782656).

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

20273327424 is a wasteful number, since it uses less digits than its factorization.

20273327424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The spelling of 20273327424 in words is "twenty billion, two hundred seventy-three million, three hundred twenty-seven thousand, four hundred twenty-four".