4678652563200 has 1296 divisors, whose sum is σ = 20904973829376. Its totient is φ = 969847603200.

The previous prime is 4678652563183. The next prime is 4678652563241. The reversal of 4678652563200 is 23652568764.

4678652563200 is a `hidden beast` number, since 4 + 6 + 7 + 8 + 6 + 52 + 563 + 20 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2319608592 + ... + 2319610608.

Almost surely, 2^{4678652563200} is an apocalyptic number.

4678652563200 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 4678652563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10452486914688).

4678652563200 is an abundant number, since it is smaller than the sum of its proper divisors (16226321266176).

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

4678652563200 is a wasteful number, since it uses less digits than its factorization.

4678652563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 4678652563200 in words is "four trillion, six hundred seventy-eight billion, six hundred fifty-two million, five hundred sixty-three thousand, two hundred".