4753956480 has 768 divisors, whose sum is σ = 19925740800. Its totient is φ = 959422464.

The previous prime is 4753956469. The next prime is 4753956511. The reversal of 4753956480 is 846593574.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206693749 + ... + 206693771.

It is an arithmetic number, because the mean of its divisors is an integer number (25944975).

Almost surely, 2^4753956480 is an apocalyptic number.

4753956480 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 4753956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9962870400).

4753956480 is an abundant number, since it is smaller than the sum of its proper divisors (15171784320).

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

4753956480 is a wasteful number, since it uses less digits than its factorization.

4753956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The square root of 4753956480 is about 68948.9411086204. The cubic root of 4753956480 is about 1681.4542962770.

The spelling of 4753956480 in words is "four billion, seven hundred fifty-three million, nine hundred fifty-six thousand, four hundred eighty".