4636478880 has 576 divisors, whose sum is σ = 18446133888. Its totient is φ = 1089884160.

The previous prime is 4636478879. The next prime is 4636478963. The reversal of 4636478880 is 888746364.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15824014 + ... + 15824306.

It is an arithmetic number, because the mean of its divisors is an integer number (32024538).

Almost surely, 2^4636478880 is an apocalyptic number.

4636478880 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 4636478880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9223066944).

4636478880 is an abundant number, since it is smaller than the sum of its proper divisors (13809655008).

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

4636478880 is a wasteful number, since it uses less digits than its factorization.

4636478880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 4636478880 is about 68091.6946477322. The cubic root of 4636478880 is about 1667.4881717222.

The spelling of 4636478880 in words is "four billion, six hundred thirty-six million, four hundred seventy-eight thousand, eight hundred eighty".