4521768960 has 384 divisors, whose sum is σ = 15599001600. Its totient is φ = 1114767360.

The previous prime is 4521768959. The next prime is 4521768967. The reversal of 4521768960 is 698671254.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4521768967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35604417 + ... + 35604543.

It is an arithmetic number, because the mean of its divisors is an integer number (40622400).

Almost surely, 2^4521768960 is an apocalyptic number.

4521768960 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 4521768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7799500800).

4521768960 is an abundant number, since it is smaller than the sum of its proper divisors (11077232640).

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

4521768960 is a wasteful number, since it uses less digits than its factorization.

4521768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 4521768960 is about 67244.0998155228. The cubic root of 4521768960 is about 1653.6215476272.

The spelling of 4521768960 in words is "four billion, five hundred twenty-one million, seven hundred sixty-eight thousand, nine hundred sixty".