20478376800 has 1152 divisors, whose sum is σ = 92874055680. Its totient is φ = 4246732800.

The previous prime is 20478376777. The next prime is 20478376843. The reversal of 20478376800 is 867387402.

It is a happy number.

20478376800 is a `hidden beast` number, since 204 + 78 + 376 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79682272 + ... + 79682528.

It is an arithmetic number, because the mean of its divisors is an integer number (80619840).

Almost surely, 2^20478376800 is an apocalyptic number.

20478376800 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 20478376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46437027840).

20478376800 is an abundant number, since it is smaller than the sum of its proper divisors (72395678880).

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

20478376800 is a wasteful number, since it uses less digits than its factorization.

20478376800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 20478376800 in words is "twenty billion, four hundred seventy-eight million, three hundred seventy-six thousand, eight hundred".