4736386368 has 168 divisors, whose sum is σ = 15703466688. Its totient is φ = 1336854528.

The previous prime is 4736386363. The next prime is 4736386373. The reversal of 4736386368 is 8636836374.

4736386368 is a `hidden beast` number, since 473 + 63 + 86 + 36 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4736386363) and next prime (4736386373).

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4736386363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327580 + ... + 341732.

It is an arithmetic number, because the mean of its divisors is an integer number (93473016).

Almost surely, 2^4736386368 is an apocalyptic number.

4736386368 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 4736386368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7851733344).

4736386368 is an abundant number, since it is smaller than the sum of its proper divisors (10967080320).

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

4736386368 is a wasteful number, since it uses less digits than its factorization.

4736386368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14261 (or 14248 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The square root of 4736386368 is about 68821.4092270712. The cubic root of 4736386368 is about 1679.3802475918.

The spelling of 4736386368 in words is "four billion, seven hundred thirty-six million, three hundred eighty-six thousand, three hundred sixty-eight".