4735748640 has 192 divisors, whose sum is σ = 17200947456. Its totient is φ = 1072791552.

The previous prime is 4735748639. The next prime is 4735748669. The reversal of 4735748640 is 468475374.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4735748640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373444 + ... + 385916.

It is an arithmetic number, because the mean of its divisors is an integer number (89588268).

Almost surely, 2^4735748640 is an apocalyptic number.

4735748640 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 4735748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8600473728).

4735748640 is an abundant number, since it is smaller than the sum of its proper divisors (12465198816).

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

4735748640 is a wasteful number, since it uses less digits than its factorization.

4735748640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12611 (or 12603 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The square root of 4735748640 is about 68816.7758617040. The cubic root of 4735748640 is about 1679.3048711483.

The spelling of 4735748640 in words is "four billion, seven hundred thirty-five million, seven hundred forty-eight thousand, six hundred forty".