4572535968 has 768 divisors, whose sum is σ = 19020718080. Its totient is φ = 1028505600.

The previous prime is 4572535963. The next prime is 4572535969. The reversal of 4572535968 is 8695352754.

4572535968 is a `hidden beast` number, since 4 + 572 + 5 + 3 + 5 + 9 + 68 = 666.

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

Its product of digits (9072000) is a multiple of the sum of its prime factors (378).

It is not an unprimeable number, because it can be changed into a prime (4572535963) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14702533 + ... + 14702843.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560).

Almost surely, 2^4572535968 is an apocalyptic number.

4572535968 is a gapful number since it is divisible by the number (48) 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 4572535968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9510359040).

4572535968 is an abundant number, since it is smaller than the sum of its proper divisors (14448182112).

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

4572535968 is a wasteful number, since it uses less digits than its factorization.

4572535968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The square root of 4572535968 is about 67620.5291904759. The cubic root of 4572535968 is about 1659.7870690253.

The spelling of 4572535968 in words is "four billion, five hundred seventy-two million, five hundred thirty-five thousand, nine hundred sixty-eight".