4624016364 has 72 divisors (see below), whose sum is σ = 12774984768. Its totient is φ = 1398589920.

The previous prime is 4624016363. The next prime is 4624016459. The reversal of 4624016364 is 4636104264.

4624016364 is a `hidden beast` number, since 46 + 240 + 16 + 364 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4624016363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205939 + ... + 227285.

It is an arithmetic number, because the mean of its divisors is an integer number (177430344).

Almost surely, 2^4624016364 is an apocalyptic number.

4624016364 is a gapful number since it is divisible by the number (44) 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 4624016364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6387492384).

4624016364 is an abundant number, since it is smaller than the sum of its proper divisors (8150968404).

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

4624016364 is a wasteful number, since it uses less digits than its factorization.

4624016364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21915 (or 21910 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4624016364 is about 68000.1203234230. The cubic root of 4624016364 is about 1665.9928023720.

The spelling of 4624016364 in words is "four billion, six hundred twenty-four million, sixteen thousand, three hundred sixty-four".