4637616768 has 160 divisors (see below), whose sum is σ = 13844761920. Its totient is φ = 1541030400.

The previous prime is 4637616733. The next prime is 4637616769. The reversal of 4637616768 is 8676167364.

4637616768 is a `hidden beast` number, since 463 + 7 + 61 + 67 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4637616769) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5090233 + ... + 5091143.

It is an arithmetic number, because the mean of its divisors is an integer number (86529762).

Almost surely, 2^4637616768 is an apocalyptic number.

4637616768 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 4637616768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6922380960).

4637616768 is an abundant number, since it is smaller than the sum of its proper divisors (9207145152).

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

4637616768 is an equidigital number, since it uses as much as digits as its factorization.

4637616768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1407 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 4637616768 is about 68100.0496916118. The cubic root of 4637616768 is about 1667.6245726154.

The spelling of 4637616768 in words is "four billion, six hundred thirty-seven million, six hundred sixteen thousand, seven hundred sixty-eight".