4644639252000 has 768 divisors, whose sum is σ = 18482080780800. Its totient is φ = 1123614720000.

The previous prime is 4644639251969. The next prime is 4644639252017. The reversal of 4644639252000 is 2529364464.

4644639252000 is a `hidden beast` number, since 4 + 6 + 4 + 4 + 639 + 2 + 5 + 2 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 604688160 + ... + 604695840.

It is an arithmetic number, because the mean of its divisors is an integer number (24065209350).

Almost surely, 2^{4644639252000} is an apocalyptic number.

4644639252000 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 4644639252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9241040390400).

4644639252000 is an abundant number, since it is smaller than the sum of its proper divisors (13837441528800).

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

4644639252000 is a wasteful number, since it uses less digits than its factorization.

4644639252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8235 (or 8211 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 4644639252000 in words is "four trillion, six hundred forty-four billion, six hundred thirty-nine million, two hundred fifty-two thousand".