4656204000 has 480 divisors, whose sum is σ = 19540737216. Its totient is φ = 1063756800.

The previous prime is 4656203957. The next prime is 4656204013. The reversal of 4656204000 is 4026564.

It is a happy number.

4656204000 is a `hidden beast` number, since 4 + 656 + 2 + 0 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 2266974 + ... + 2269026.

Almost surely, 2^4656204000 is an apocalyptic number.

4656204000 is a gapful number since it is divisible by the number (40) 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 4656204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9770368608).

4656204000 is an abundant number, since it is smaller than the sum of its proper divisors (14884533216).

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

4656204000 is a wasteful number, since it uses less digits than its factorization.

4656204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4656204000 is about 68236.3832570279. The cubic root of 4656204000 is about 1669.8495089509.

The spelling of 4656204000 in words is "four billion, six hundred fifty-six million, two hundred four thousand".