20007364192 has 192 divisors, whose sum is σ = 45082759680. Its totient is φ = 8683462656.

The previous prime is 20007364189. The next prime is 20007364193. The reversal of 20007364192 is 29146370002.

It is a super-2 number, since 2×20007364192² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20007364193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115649418 + ... + 115649590.

It is an arithmetic number, because the mean of its divisors is an integer number (234806040).

Almost surely, 2^20007364192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20007364192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22541379840).

20007364192 is an abundant number, since it is smaller than the sum of its proper divisors (25075395488).

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

20007364192 is a wasteful number, since it uses less digits than its factorization.

20007364192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 20007364192 in words is "twenty billion, seven million, three hundred sixty-four thousand, one hundred ninety-two".