4642879360 has 384 divisors, whose sum is σ = 13889413440. Its totient is φ = 1476034560.

The previous prime is 4642879343. The next prime is 4642879361. The reversal of 4642879360 is 639782464.

It is a super-3 number, since 3×4642879360³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4642879361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29572402 + ... + 29572558.

Almost surely, 2^4642879360 is an apocalyptic number.

4642879360 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 4642879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6944706720).

4642879360 is an abundant number, since it is smaller than the sum of its proper divisors (9246534080).

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

4642879360 is a wasteful number, since it uses less digits than its factorization.

4642879360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The square root of 4642879360 is about 68138.6774159875. The cubic root of 4642879360 is about 1668.2551199199.

The spelling of 4642879360 in words is "four billion, six hundred forty-two million, eight hundred seventy-nine thousand, three hundred sixty".