4675276800 has 624 divisors, whose sum is σ = 18282312000. Its totient is φ = 1167851520.

The previous prime is 4675276763. The next prime is 4675276829. The reversal of 4675276800 is 86725764.

4675276800 is a `hidden beast` number, since 4 + 67 + 527 + 68 + 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, 52531156 + ... + 52531244.

Almost surely, 2^4675276800 is an apocalyptic number.

4675276800 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 4675276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9141156000).

4675276800 is an abundant number, since it is smaller than the sum of its proper divisors (13607035200).

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

4675276800 is a wasteful number, since it uses less digits than its factorization.

4675276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 4675276800 is about 68375.9957879957. The cubic root of 4675276800 is about 1672.1264222227.

The spelling of 4675276800 in words is "four billion, six hundred seventy-five million, two hundred seventy-six thousand, eight hundred".