4680389952 has 448 divisors, whose sum is σ = 16915668480. Its totient is φ = 1254113280.

The previous prime is 4680389897. The next prime is 4680389977. The reversal of 4680389952 is 2599830864.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 16656052 + ... + 16656332.

Almost surely, 2^4680389952 is an apocalyptic number.

4680389952 is a gapful number since it is divisible by the number (42) 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 4680389952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8457834240).

4680389952 is an abundant number, since it is smaller than the sum of its proper divisors (12235278528).

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

4680389952 is an equidigital number, since it uses as much as digits as its factorization.

4680389952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 4680389952 is about 68413.3755343208. The cubic root of 4680389952 is about 1672.7357780572.

The spelling of 4680389952 in words is "four billion, six hundred eighty million, three hundred eighty-nine thousand, nine hundred fifty-two".