4864327776 has 864 divisors, whose sum is σ = 19755671040. Its totient is φ = 1137438720.

The previous prime is 4864327717. The next prime is 4864327777. The reversal of 4864327776 is 6777234684.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (9483264) is a multiple of the sum of its prime divisors (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4864327777) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 211492501 + ... + 211492523.

It is an arithmetic number, because the mean of its divisors is an integer number (22865360).

Almost surely, 2^4864327776 is an apocalyptic number.

4864327776 is a gapful number since it is divisible by the number (46) 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 4864327776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9877835520).

4864327776 is an abundant number, since it is smaller than the sum of its proper divisors (14891343264).

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

4864327776 is a wasteful number, since it uses less digits than its factorization.

4864327776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 63 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The square root of 4864327776 is about 69744.7329624252. The cubic root of 4864327776 is about 1694.3674920935.

The spelling of 4864327776 in words is "four billion, eight hundred sixty-four million, three hundred twenty-seven thousand, seven hundred seventy-six".