4972967967 has 16 divisors (see below), whose sum is σ = 7307983872. Its totient is φ = 2982846720.

The previous prime is 4972967957. The next prime is 4972967999. The reversal of 4972967967 is 7697692794.

It is not a de Polignac number, because 4972967967 - 2²⁰ = 4971919391 is a prime.

It is a super-2 number, since 2×4972967967² = 49460820801616226178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4972967898 and 4972967907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4972967947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773583 + ... + 779984.

It is an arithmetic number, because the mean of its divisors is an integer number (456748992).

Almost surely, 2^4972967967 is an apocalyptic number.

4972967967 is a deficient number, since it is larger than the sum of its proper divisors (2335015905).

4972967967 is a wasteful number, since it uses less digits than its factorization.

4972967967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553678.

The product of its digits is 72013536, while the sum is 66.

The square root of 4972967967 is about 70519.2737271166. The cubic root of 4972967967 is about 1706.8887680455. Note that the first 3 decimals are identical.

The spelling of 4972967967 in words is "four billion, nine hundred seventy-two million, nine hundred sixty-seven thousand, nine hundred sixty-seven".