4640025600 has 792 divisors, whose sum is σ = 19966110480. Its totient is φ = 1052835840.

The previous prime is 4640025569. The next prime is 4640025601. The reversal of 4640025600 is 65200464.

It is a happy number.

4640025600 is a `hidden beast` number, since 4 + 6 + 400 + 256 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4640025601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33868732 + ... + 33868868.

Almost surely, 2^4640025600 is an apocalyptic number.

4640025600 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 4640025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9983055240).

4640025600 is an abundant number, since it is smaller than the sum of its proper divisors (15326084880).

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

4640025600 is a wasteful number, since it uses less digits than its factorization.

4640025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 154 counting only the distinct ones).

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

The square root of 4640025600 is about 68117.7333739167. The cubic root of 4640025600 is about 1667.9132504959.

The spelling of 4640025600 in words is "four billion, six hundred forty million, twenty-five thousand, six hundred".