4629667968 has 256 divisors, whose sum is σ = 14309376000. Its totient is φ = 1471841280.

The previous prime is 4629667943. The next prime is 4629667979. The reversal of 4629667968 is 8697669264.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8463471 + ... + 8464017.

It is an arithmetic number, because the mean of its divisors is an integer number (55896000).

Almost surely, 2^4629667968 is an apocalyptic number.

4629667968 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 4629667968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7154688000).

4629667968 is an abundant number, since it is smaller than the sum of its proper divisors (9679708032).

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

4629667968 is a wasteful number, since it uses less digits than its factorization.

4629667968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 662 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The square root of 4629667968 is about 68041.6634717288. The cubic root of 4629667968 is about 1666.6712672584.

The spelling of 4629667968 in words is "four billion, six hundred twenty-nine million, six hundred sixty-seven thousand, nine hundred sixty-eight".