4696473600 has 864 divisors, whose sum is σ = 21075662790. Its totient is φ = 990904320.

The previous prime is 4696473581. The next prime is 4696473611. The reversal of 4696473600 is 63746964.

4696473600 is a `hidden beast` number, since 469 + 64 + 73 + 60 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2608349184 + 2088124416 = 51072^2 + 45696^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 361267194 + ... + 361267206.

Almost surely, 2^4696473600 is an apocalyptic number.

4696473600 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 4696473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10537831395).

4696473600 is an abundant number, since it is smaller than the sum of its proper divisors (16379189190).

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

4696473600 is a wasteful number, since it uses less digits than its factorization.

4696473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 4696473600 is about 68530.8222626870. The cubic root of 4696473600 is about 1674.6496452938.

The spelling of 4696473600 in words is "four billion, six hundred ninety-six million, four hundred seventy-three thousand, six hundred".