4740896160 has 1296 divisors, whose sum is σ = 22963554432. Its totient is φ = 869806080.

The previous prime is 4740896141. The next prime is 4740896161. The reversal of 4740896160 is 616980474.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4740896161) 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 215 ways as a sum of consecutive naturals, for example, 206125909 + ... + 206125931.

It is an arithmetic number, because the mean of its divisors is an integer number (17718792).

Almost surely, 2^4740896160 is an apocalyptic number.

4740896160 is a gapful number since it is divisible by the number (40) 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 4740896160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11481777216).

4740896160 is an abundant number, since it is smaller than the sum of its proper divisors (18222658272).

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

4740896160 is a wasteful number, since it uses less digits than its factorization.

4740896160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4740896160 is about 68854.1658870398. The cubic root of 4740896160 is about 1679.9130907422.

It can be divided in two parts, 474089 and 6160, that added together give a square (480249 = 693²).

The spelling of 4740896160 in words is "four billion, seven hundred forty million, eight hundred ninety-six thousand, one hundred sixty".