4758953472 has 600 divisors, whose sum is σ = 17759394576. Its totient is φ = 1242169344.

The previous prime is 4758953471. The next prime is 4758953473. The reversal of 4758953472 is 2743598574.

It is a happy number.

4758953472 is a `hidden beast` number, since 4 + 7 + 589 + 53 + 4 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4758953471) and next prime (4758953473).

It is a super-3 number, since 3×4758953472³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8467200) is a multiple of the sum of its prime factors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4758953471) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 49061328 + ... + 49061424.

Almost surely, 2^4758953472 is an apocalyptic number.

4758953472 is a gapful number since it is divisible by the number (42) 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 4758953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8879697288).

4758953472 is an abundant number, since it is smaller than the sum of its proper divisors (13000441104).

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

4758953472 is an equidigital number, since it uses as much as digits as its factorization.

4758953472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 122 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The square root of 4758953472 is about 68985.1684929449. The cubic root of 4758953472 is about 1682.0432282891.

The spelling of 4758953472 in words is "four billion, seven hundred fifty-eight million, nine hundred fifty-three thousand, four hundred seventy-two".