4755240960 has 192 divisors, whose sum is σ = 16015708800. Its totient is φ = 1201176576.

The previous prime is 4755240949. The next prime is 4755240977. The reversal of 4755240960 is 690425574.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4755240960² = 45224633175323443200, which contains 22 as substring.

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, 579607 + ... + 587753.

It is an arithmetic number, because the mean of its divisors is an integer number (83415150).

Almost surely, 2^4755240960 is an apocalyptic number.

4755240960 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 4755240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8007854400).

4755240960 is an abundant number, since it is smaller than the sum of its proper divisors (11260467840).

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

4755240960 is a wasteful number, since it uses less digits than its factorization.

4755240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8196 (or 8176 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 4755240960 is about 68958.2551983445. The cubic root of 4755240960 is about 1681.6057210207.

The spelling of 4755240960 in words is "four billion, seven hundred fifty-five million, two hundred forty thousand, nine hundred sixty".