4648879872 has 576 divisors, whose sum is σ = 17856384000. Its totient is φ = 1158561792.

The previous prime is 4648879871. The next prime is 4648879919. The reversal of 4648879872 is 2789788464.

4648879872 is a `hidden beast` number, since 4 + 6 + 488 + 79 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4648879872² = 43224168128573472768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4648879871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11950654 + ... + 11951042.

Almost surely, 2^4648879872 is an apocalyptic number.

4648879872 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 4648879872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928192000).

4648879872 is an abundant number, since it is smaller than the sum of its proper divisors (13207504128).

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

4648879872 is a wasteful number, since it uses less digits than its factorization.

4648879872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 433 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The square root of 4648879872 is about 68182.6948132736. The cubic root of 4648879872 is about 1668.9735013862.

The spelling of 4648879872 in words is "four billion, six hundred forty-eight million, eight hundred seventy-nine thousand, eight hundred seventy-two".