4975356960 has 576 divisors, whose sum is σ = 20434063104. Its totient is φ = 1119744000.

The previous prime is 4975356949. The next prime is 4975357007. The reversal of 4975356960 is 696535794.

4975356960 is a `hidden beast` number, since 4 + 9 + 75 + 3 + 569 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4975356897 and 4975356906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27488070 + ... + 27488250.

It is an arithmetic number, because the mean of its divisors is an integer number (35475804).

Almost surely, 2^4975356960 is an apocalyptic number.

4975356960 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 4975356960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10217031552).

4975356960 is an abundant number, since it is smaller than the sum of its proper divisors (15458706144).

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

4975356960 is a wasteful number, since it uses less digits than its factorization.

4975356960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The square root of 4975356960 is about 70536.2102752905. The cubic root of 4975356960 is about 1707.1620516957.

The spelling of 4975356960 in words is "four billion, nine hundred seventy-five million, three hundred fifty-six thousand, nine hundred sixty".