20399629824 has 360 divisors, whose sum is σ = 69024363408. Its totient is φ = 5782855680.

The previous prime is 20399629823. The next prime is 20399629907. The reversal of 20399629824 is 42892699302.

20399629824 is a `hidden beast` number, since 2 + 0 + 3 + 9 + 9 + 629 + 8 + 2 + 4 = 666.

It is a super-2 number, since 2×20399629824² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20399629823) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 37706994 + ... + 37707534.

Almost surely, 2^20399629824 is an apocalyptic number.

20399629824 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 20399629824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34512181704).

20399629824 is an abundant number, since it is smaller than the sum of its proper divisors (48624733584).

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

20399629824 is a wasteful number, since it uses less digits than its factorization.

20399629824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 20399629824 in words is "twenty billion, three hundred ninety-nine million, six hundred twenty-nine thousand, eight hundred twenty-four".