20379574800 has 1080 divisors, whose sum is σ = 84498654240. Its totient is φ = 4528742400.

The previous prime is 20379574783. The next prime is 20379574807. The reversal of 20379574800 is 847597302.

20379574800 is a `hidden beast` number, since 2 + 0 + 3 + 79 + 574 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20379574807) 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 215 ways as a sum of consecutive naturals, for example, 473943579 + ... + 473943621.

Almost surely, 2^20379574800 is an apocalyptic number.

20379574800 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 20379574800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42249327120).

20379574800 is an abundant number, since it is smaller than the sum of its proper divisors (64119079440).

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

20379574800 is a wasteful number, since it uses less digits than its factorization.

20379574800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 20379574800 in words is "twenty billion, three hundred seventy-nine million, five hundred seventy-four thousand, eight hundred".