4680025280 has 336 divisors, whose sum is σ = 14260250880. Its totient is φ = 1451907072.

The previous prime is 4680025277. The next prime is 4680025291. The reversal of 4680025280 is 825200864.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4680025280.

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, 6851819 + ... + 6852501.

Almost surely, 2^4680025280 is an apocalyptic number.

4680025280 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 4680025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7130125440).

4680025280 is an abundant number, since it is smaller than the sum of its proper divisors (9580225600).

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

4680025280 is a wasteful number, since it uses less digits than its factorization.

4680025280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 4680025280 is about 68410.7102725882. The cubic root of 4680025280 is about 1672.6923332623.

The spelling of 4680025280 in words is "four billion, six hundred eighty million, twenty-five thousand, two hundred eighty".