6333879552 has 648 divisors, whose sum is σ = 23429292768. Its totient is φ = 1504419840.

The previous prime is 6333879511. The next prime is 6333879553. The reversal of 6333879552 is 2559783336.

Its product of digits (4082400) is a multiple of the sum of its prime factors (175).

It is a junction number, because it is equal to n+sod(n) for n = 6333879495 and 6333879504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6333879553) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59195083 + ... + 59195189.

It is an arithmetic number, because the mean of its divisors is an integer number (36156316).

Almost surely, 2^6333879552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6333879552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11714646384).

6333879552 is an abundant number, since it is smaller than the sum of its proper divisors (17095413216).

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

6333879552 is a wasteful number, since it uses less digits than its factorization.

6333879552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 143 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 51.

The square root of 6333879552 is about 79585.6742887814. The cubic root of 6333879552 is about 1850.2195553401.

The spelling of 6333879552 in words is "six billion, three hundred thirty-three million, eight hundred seventy-nine thousand, five hundred fifty-two".