4134672864 has 240 divisors, whose sum is σ = 14347339776. Its totient is φ = 1143072000.

The previous prime is 4134672863. The next prime is 4134672881. The reversal of 4134672864 is 4682764314.

4134672864 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134672863) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 558789 + ... + 566139.

Almost surely, 2^4134672864 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 4134672864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7173669888).

4134672864 is an abundant number, since it is smaller than the sum of its proper divisors (10212666912).

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

4134672864 is a wasteful number, since it uses less digits than its factorization.

4134672864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7411 (or 7394 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 4134672864 is about 64301.4219438420. The cubic root of 4134672864 is about 1605.0197639282.

The spelling of 4134672864 in words is "four billion, one hundred thirty-four million, six hundred seventy-two thousand, eight hundred sixty-four".