4764937408 has 224 divisors, whose sum is σ = 12173078016. Its totient is φ = 1812096000.

The previous prime is 4764937403. The next prime is 4764937421. The reversal of 4764937408 is 8047394674.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (4764937403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36373503 + ... + 36373633.

Almost surely, 2^4764937408 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 4764937408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6086539008).

4764937408 is an abundant number, since it is smaller than the sum of its proper divisors (7408140608).

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

4764937408 is a wasteful number, since it uses less digits than its factorization.

4764937408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The square root of 4764937408 is about 69028.5260453966. The cubic root of 4764937408 is about 1682.7479366761.

The spelling of 4764937408 in words is "four billion, seven hundred sixty-four million, nine hundred thirty-seven thousand, four hundred eight".