4795776000 has 528 divisors, whose sum is σ = 18132948288. Its totient is φ = 1216512000.

The previous prime is 4795775993. The next prime is 4795776061. The reversal of 4795776000 is 6775974.

4795776000 is a `hidden beast` number, since 4 + 79 + 577 + 6 + 0 + 0 + 0 = 666.

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

It is a congruent number.

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, 26495910 + ... + 26496090.

Almost surely, 2^4795776000 is an apocalyptic number.

4795776000 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 4795776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9066474144).

4795776000 is an abundant number, since it is smaller than the sum of its proper divisors (13337172288).

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

4795776000 is a wasteful number, since it uses less digits than its factorization.

4795776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 4795776000 is about 69251.5414990887. The cubic root of 4795776000 is about 1686.3703715568.

The spelling of 4795776000 in words is "four billion, seven hundred ninety-five million, seven hundred seventy-six thousand".