4735580640 has 96 divisors (see below), whose sum is σ = 17048102400. Its totient is φ = 1082417664.

The previous prime is 4735580593. The next prime is 4735580659. The reversal of 4735580640 is 460855374.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4735580592 and 4735580601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 701340 + ... + 708059.

It is an arithmetic number, because the mean of its divisors is an integer number (177584400).

Almost surely, 2^4735580640 is an apocalyptic number.

4735580640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4735580640 is an abundant number, since it is smaller than the sum of its proper divisors (12312521760).

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

4735580640 is a wasteful number, since it uses less digits than its factorization.

4735580640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409424 (or 1409416 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 4735580640 is about 68815.5552182790. Note that the first 3 decimals coincide. The cubic root of 4735580640 is about 1679.2850132141.

The spelling of 4735580640 in words is "four billion, seven hundred thirty-five million, five hundred eighty thousand, six hundred forty".