20378034432 has 504 divisors, whose sum is σ = 73456944960. Its totient is φ = 5509140480.

The previous prime is 20378034427. The next prime is 20378034517. The reversal of 20378034432 is 23443087302.

20378034432 is a `hidden beast` number, since 203 + 7 + 8 + 0 + 3 + 443 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 24820582 + ... + 24821402.

Almost surely, 2^20378034432 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 20378034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36728472480).

20378034432 is an abundant number, since it is smaller than the sum of its proper divisors (53078910528).

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

20378034432 is an frugal number, since it uses more digits than its factorization.

20378034432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 20378034432 in words is "twenty billion, three hundred seventy-eight million, thirty-four thousand, four hundred thirty-two".