4694860800 has 792 divisors, whose sum is σ = 19956972672. Its totient is φ = 1032192000.

The previous prime is 4694860799. The next prime is 4694860823. The reversal of 4694860800 is 80684964.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 66124765 + ... + 66124835.

Almost surely, 2^4694860800 is an apocalyptic number.

4694860800 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 4694860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9978486336).

4694860800 is an abundant number, since it is smaller than the sum of its proper divisors (15262111872).

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

4694860800 is a wasteful number, since it uses less digits than its factorization.

4694860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4694860800 is about 68519.0542841916. The cubic root of 4694860800 is about 1674.4579281032.

The spelling of 4694860800 in words is "four billion, six hundred ninety-four million, eight hundred sixty thousand, eight hundred".