4628685600 has 1152 divisors, whose sum is σ = 21958594560. Its totient is φ = 919987200.

The previous prime is 4628685583. The next prime is 4628685601. The reversal of 4628685600 is 65868264.

4628685600 is a `hidden beast` number, since 4 + 6 + 2 + 86 + 8 + 560 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4628685601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 201247189 + ... + 201247211.

It is an arithmetic number, because the mean of its divisors is an integer number (19061280).

Almost surely, 2^4628685600 is an apocalyptic number.

4628685600 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 4628685600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10979297280).

4628685600 is an abundant number, since it is smaller than the sum of its proper divisors (17329908960).

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

4628685600 is a wasteful number, since it uses less digits than its factorization.

4628685600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4628685600 is about 68034.4442176167. Note that the first 3 decimals coincide. The cubic root of 4628685600 is about 1666.5533754103.

The spelling of 4628685600 in words is "four billion, six hundred twenty-eight million, six hundred eighty-five thousand, six hundred".