4634381568 has 72 divisors (see below), whose sum is σ = 12417300000. Its totient is φ = 1534388224.

The previous prime is 4634381551. The next prime is 4634381593. The reversal of 4634381568 is 8651834364.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94183 + ... + 134681.

It is an arithmetic number, because the mean of its divisors is an integer number (172462500).

Almost surely, 2^4634381568 is an apocalyptic number.

4634381568 is a gapful number since it is divisible by the number (48) 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 4634381568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6208650000).

4634381568 is an abundant number, since it is smaller than the sum of its proper divisors (7782918432).

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

4634381568 is a wasteful number, since it uses less digits than its factorization.

4634381568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40667 (or 40653 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 4634381568 is about 68076.2922609626. The cubic root of 4634381568 is about 1667.2367042832.

The spelling of 4634381568 in words is "four billion, six hundred thirty-four million, three hundred eighty-one thousand, five hundred sixty-eight".