4676814720 has 256 divisors, whose sum is σ = 16755336000. Its totient is φ = 1232732160.

The previous prime is 4676814707. The next prime is 4676814739. The reversal of 4676814720 is 274186764.

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 31 ways as a sum of consecutive naturals, for example, 1536400 + ... + 1539440.

Almost surely, 2^4676814720 is an apocalyptic number.

4676814720 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 4676814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8377668000).

4676814720 is an abundant number, since it is smaller than the sum of its proper divisors (12078521280).

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

4676814720 is a wasteful number, since it uses less digits than its factorization.

4676814720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3158 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4676814720 is about 68387.2409152468. The cubic root of 4676814720 is about 1672.3097493180.

The spelling of 4676814720 in words is "four billion, six hundred seventy-six million, eight hundred fourteen thousand, seven hundred twenty".