4734388905264 has 200 divisors, whose sum is σ = 13769207529792. Its totient is φ = 1570487149440.

The previous prime is 4734388905247. The next prime is 4734388905269. The reversal of 4734388905264 is 4625098834374.

4734388905264 is a `hidden beast` number, since 4 + 7 + 3 + 438 + 8 + 90 + 52 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (4734388905269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 241503687 + ... + 241523289.

Almost surely, 2^{4734388905264} 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 4734388905264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6884603764896).

4734388905264 is an abundant number, since it is smaller than the sum of its proper divisors (9034818624528).

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

4734388905264 is a wasteful number, since it uses less digits than its factorization.

4734388905264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20517 (or 20502 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 4734388905264 in words is "four trillion, seven hundred thirty-four billion, three hundred eighty-eight million, nine hundred five thousand, two hundred sixty-four".