4976741952 has 224 divisors, whose sum is σ = 18007584000. Its totient is φ = 1312505856.

The previous prime is 4976741951. The next prime is 4976741963. The reversal of 4976741952 is 2591476794.

4976741952 is a `hidden beast` number, since 497 + 67 + 4 + 1 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 (4976741951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141424 + ... + 173072.

It is an arithmetic number, because the mean of its divisors is an integer number (80391000).

Almost surely, 2^4976741952 is an apocalyptic number.

4976741952 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 4976741952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9003792000).

4976741952 is an abundant number, since it is smaller than the sum of its proper divisors (13030842048).

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

4976741952 is a wasteful number, since it uses less digits than its factorization.

4976741952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31690 (or 31674 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 4976741952 is about 70546.0271879289. The cubic root of 4976741952 is about 1707.3204447814.

It can be divided in two parts, 49767 and 41952, that added together give a palindrome (91719).

The spelling of 4976741952 in words is "four billion, nine hundred seventy-six million, seven hundred forty-one thousand, nine hundred fifty-two".