204758060004 has 135 divisors (see below), whose sum is σ = 560075259513. Its totient is φ = 65225448288.

The previous prime is 204758059997. The next prime is 204758060009. The reversal of 204758060004 is 400060857402.

The square root of 204758060004 is 452502.

It is a perfect power (a square), and thus also a powerful number.

204758060004 is a `hidden beast` number, since 2 + 0 + 47 + 5 + 8 + 0 + 600 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 201771656100 + 2986403904 = 449190^2 + 54648^2 .

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

It is not an unprimeable number, because it can be changed into a prime (204758060009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 187335282 + ... + 187336374.

Almost surely, 2^204758060004 is an apocalyptic number.

204758060004 is the 452502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204758060004

204758060004 is an abundant number, since it is smaller than the sum of its proper divisors (355317199509).

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

204758060004 is an equidigital number, since it uses as much as digits as its factorization.

204758060004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 204758060004 by its sum of digits (36), we get a square (7371290160144 = 2715012²).

204758060004 divided by its sum of digits (36) gives a square (5687723889 = 75417²).

The spelling of 204758060004 in words is "two hundred four billion, seven hundred fifty-eight million, sixty thousand, four".