20379633120 has 1152 divisors, whose sum is σ = 92084428800. Its totient is φ = 4098124800.

The previous prime is 20379633119. The next prime is 20379633179. The reversal of 20379633120 is 2133697302.

20379633120 is a `hidden beast` number, since 2 + 0 + 3 + 7 + 9 + 633 + 12 + 0 = 666.

It is a super-2 number, since 2×20379633120² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 657407505 + ... + 657407535.

It is an arithmetic number, because the mean of its divisors is an integer number (79934400).

Almost surely, 2^20379633120 is an apocalyptic number.

20379633120 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 20379633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46042214400).

20379633120 is an abundant number, since it is smaller than the sum of its proper divisors (71704795680).

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

20379633120 is a wasteful number, since it uses less digits than its factorization.

20379633120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 20379633120 in words is "twenty billion, three hundred seventy-nine million, six hundred thirty-three thousand, one hundred twenty".