4734624960 has 280 divisors, whose sum is σ = 18138715056. Its totient is φ = 1165363200.

The previous prime is 4734624949. The next prime is 4734624997. The reversal of 4734624960 is 694264374.

It is a happy number.

4734624960 is a `hidden beast` number, since 4 + 7 + 346 + 249 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 329935 + ... + 343985.

Almost surely, 2^4734624960 is an apocalyptic number.

4734624960 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 4734624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9069357528).

4734624960 is an abundant number, since it is smaller than the sum of its proper divisors (13404090096).

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

4734624960 is a wasteful number, since it uses less digits than its factorization.

4734624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14093 (or 14074 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 4734624960 is about 68808.6110890200. The cubic root of 4734624960 is about 1679.1720410013.

The spelling of 4734624960 in words is "four billion, seven hundred thirty-four million, six hundred twenty-four thousand, nine hundred sixty".