4766976000 has 288 divisors, whose sum is σ = 17190646200. Its totient is φ = 1270579200.

The previous prime is 4766975971. The next prime is 4766976031. The reversal of 4766976000 is 6796674.

It can be written as a sum of positive squares in 4 ways, for example, as 666878976 + 4100097024 = 25824^2 + 64032^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 2302966 + ... + 2305034.

Almost surely, 2^4766976000 is an apocalyptic number.

4766976000 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 4766976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8595323100).

4766976000 is an abundant number, since it is smaller than the sum of its proper divisors (12423670200).

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

4766976000 is a wasteful number, since it uses less digits than its factorization.

4766976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 4766976000 is about 69043.2907674598. The cubic root of 4766976000 is about 1682.9878801834.

The spelling of 4766976000 in words is "four billion, seven hundred sixty-six million, nine hundred seventy-six thousand".