20379835224 has 320 divisors, whose sum is σ = 66824524800. Its totient is φ = 5682700800.

The previous prime is 20379835207. The next prime is 20379835241. The reversal of 20379835224 is 42253897302.

20379835224 is a `hidden beast` number, since 2 + 0 + 37 + 98 + 3 + 522 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (20379835207) and next prime (20379835241).

It is a super-2 number, since 2×20379835224² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20379835224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72525964 + ... + 72526244.

It is an arithmetic number, because the mean of its divisors is an integer number (208826640).

Almost surely, 2^20379835224 is an apocalyptic number.

20379835224 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 20379835224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33412262400).

20379835224 is an abundant number, since it is smaller than the sum of its proper divisors (46444689576).

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

20379835224 is a wasteful number, since it uses less digits than its factorization.

20379835224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 20379835224 in words is "twenty billion, three hundred seventy-nine million, eight hundred thirty-five thousand, two hundred twenty-four".