4527677952 has 320 divisors, whose sum is σ = 15556147200. Its totient is φ = 1273466880.

The previous prime is 4527677951. The next prime is 4527677981. The reversal of 4527677952 is 2597767254.

It is a happy number.

4527677952 is a `hidden beast` number, since 4 + 527 + 67 + 7 + 9 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4527677951) 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, 6870199 + ... + 6870857.

It is an arithmetic number, because the mean of its divisors is an integer number (48612960).

Almost surely, 2^4527677952 is an apocalyptic number.

4527677952 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 4527677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7778073600).

4527677952 is an abundant number, since it is smaller than the sum of its proper divisors (11028469248).

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

4527677952 is an equidigital number, since it uses as much as digits as its factorization.

4527677952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 742 counting only the distinct ones).

The product of its digits is 7408800, while the sum is 54.

The square root of 4527677952 is about 67288.0223516786. The cubic root of 4527677952 is about 1654.3415448495.

The spelling of 4527677952 in words is "four billion, five hundred twenty-seven million, six hundred seventy-seven thousand, nine hundred fifty-two".