4627007136 has 144 divisors (see below), whose sum is σ = 13576818528. Its totient is φ = 1494028800.

The previous prime is 4627007123. The next prime is 4627007149. The reversal of 4627007136 is 6317007264.

It is an interprime number because it is at equal distance from previous prime (4627007123) and next prime (4627007149).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4627007136.

It is an unprimeable number.

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, 1175091 + ... + 1179021.

It is an arithmetic number, because the mean of its divisors is an integer number (94283462).

Almost surely, 2^4627007136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4627007136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788409264).

4627007136 is an abundant number, since it is smaller than the sum of its proper divisors (8949811392).

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

4627007136 is a wasteful number, since it uses less digits than its factorization.

4627007136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 4627007136 is about 68022.1077003646. The cubic root of 4627007136 is about 1666.3519079910.

The spelling of 4627007136 in words is "four billion, six hundred twenty-seven million, seven thousand, one hundred thirty-six".