4791965200 has 240 divisors, whose sum is σ = 13042415232. Its totient is φ = 1676800000.

The previous prime is 4791965177. The next prime is 4791965221. The reversal of 4791965200 is 25691974.

It is a happy number.

It is a super-2 number, since 2×4791965200² = 45925860956022080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18220269 + ... + 18220531.

Almost surely, 2^4791965200 is an apocalyptic number.

4791965200 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 4791965200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6521207616).

4791965200 is an abundant number, since it is smaller than the sum of its proper divisors (8250450032).

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

4791965200 is a wasteful number, since it uses less digits than its factorization.

4791965200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 4791965200 is about 69224.0218421322. The cubic root of 4791965200 is about 1685.9235809406.

The spelling of 4791965200 in words is "four billion, seven hundred ninety-one million, nine hundred sixty-five thousand, two hundred".