204374016000 has 1520 divisors, whose sum is σ = 950058375552. Its totient is φ = 42467328000.

The previous prime is 204374015987. The next prime is 204374016017. The reversal of 204374016000 is 610473402.

204374016000 is a `hidden beast` number, since 20 + 4 + 37 + 4 + 0 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18579455995 + ... + 18579456005.

Almost surely, 2^204374016000 is an apocalyptic number.

204374016000 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 204374016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475029187776).

204374016000 is an abundant number, since it is smaller than the sum of its proper divisors (745684359552).

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

204374016000 is an frugal number, since it uses more digits than its factorization.

204374016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 204374016000 its reverse (610473402), we get a palindrome (204984489402).

The spelling of 204374016000 in words is "two hundred four billion, three hundred seventy-four million, sixteen thousand".