4975076106 has 256 divisors, whose sum is σ = 15328051200. Its totient is φ = 1153958400.

The previous prime is 4975076081. The next prime is 4975076107. The reversal of 4975076106 is 6016705794.

It is a happy number.

4975076106 is a `hidden beast` number, since 497 + 50 + 7 + 6 + 106 = 666.

It is a super-4 number, since 4×4975076106⁴ (a number of 40 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (4975076107) 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, 1674190 + ... + 1677158.

It is an arithmetic number, because the mean of its divisors is an integer number (59875200).

Almost surely, 2^4975076106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4975076106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7664025600).

4975076106 is an abundant number, since it is smaller than the sum of its proper divisors (10352975094).

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

4975076106 is a wasteful number, since it uses less digits than its factorization.

4975076106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 4975076106 is about 70534.2193973960. The cubic root of 4975076106 is about 1707.1299285525.

The spelling of 4975076106 in words is "four billion, nine hundred seventy-five million, seventy-six thousand, one hundred six".