4680529920 has 768 divisors, whose sum is σ = 19341504000. Its totient is φ = 1074954240.

The previous prime is 4680529897. The next prime is 4680529951. The reversal of 4680529920 is 299250864.

4680529920 is a `hidden beast` number, since 46 + 80 + 529 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246343671 + ... + 246343689.

It is an arithmetic number, because the mean of its divisors is an integer number (25184250).

Almost surely, 2^4680529920 is an apocalyptic number.

4680529920 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 4680529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9670752000).

4680529920 is an abundant number, since it is smaller than the sum of its proper divisors (14660974080).

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

4680529920 is an equidigital number, since it uses as much as digits as its factorization.

4680529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 4680529920 is about 68414.3984845296. The cubic root of 4680529920 is about 1672.7524523906.

The spelling of 4680529920 in words is "four billion, six hundred eighty million, five hundred twenty-nine thousand, nine hundred twenty".