4785796800 has 504 divisors, whose sum is σ = 17835554880. Its totient is φ = 1216051200.

The previous prime is 4785796789. The next prime is 4785796823. The reversal of 4785796800 is 86975874.

4785796800 is a `hidden beast` number, since 4 + 7 + 8 + 579 + 68 + 0 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 36532735 + ... + 36532865.

Almost surely, 2^4785796800 is an apocalyptic number.

4785796800 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 4785796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8917777440).

4785796800 is an abundant number, since it is smaller than the sum of its proper divisors (13049758080).

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

4785796800 is a wasteful number, since it uses less digits than its factorization.

4785796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 4785796800 is about 69179.4535971483. The cubic root of 4785796800 is about 1685.1998753233.

The spelling of 4785796800 in words is "four billion, seven hundred eighty-five million, seven hundred ninety-six thousand, eight hundred".