4656748723200 has 1584 divisors, whose sum is σ = 19856923827520. Its totient is φ = 1020489891840.

The previous prime is 4656748723189. The next prime is 4656748723213. The reversal of 4656748723200 is 23278476564.

4656748723200 is a `hidden beast` number, since 4 + 6 + 567 + 4 + 8 + 72 + 3 + 2 + 0 + 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, 4356172266 + ... + 4356173334.

Almost surely, 2^{4656748723200} is an apocalyptic number.

4656748723200 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 4656748723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9928461913760).

4656748723200 is an abundant number, since it is smaller than the sum of its proper divisors (15200175104320).

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

4656748723200 is a wasteful number, since it uses less digits than its factorization.

4656748723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 4656748723200 in words is "four trillion, six hundred fifty-six billion, seven hundred forty-eight million, seven hundred twenty-three thousand, two hundred".