4967975436984 has 288 divisors, whose sum is σ = 16034219435520. Its totient is φ = 1384804294272.

The previous prime is 4967975436953. The next prime is 4967975437013. The reversal of 4967975436984 is 4896345797694.

4967975436984 is a `hidden beast` number, since 4 + 9 + 6 + 7 + 9 + 7 + 543 + 69 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 133936089 + ... + 133973175.

It is an arithmetic number, because the mean of its divisors is an integer number (55674373040).

Almost surely, 2^{4967975436984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4967975436984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8017109717760).

4967975436984 is an abundant number, since it is smaller than the sum of its proper divisors (11066243998536).

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

4967975436984 is a wasteful number, since it uses less digits than its factorization.

4967975436984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38039 (or 38025 counting only the distinct ones).

The product of its digits is 9876142080, while the sum is 81.

The spelling of 4967975436984 in words is "four trillion, nine hundred sixty-seven billion, nine hundred seventy-five million, four hundred thirty-six thousand, nine hundred eighty-four".