4296936960 has 480 divisors, whose sum is σ = 15799212000. Its totient is φ = 1077608448.

The previous prime is 4296936937. The next prime is 4296936961. The reversal of 4296936960 is 696396924.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 4296936897 and 4296936906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4296936961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39421386 + ... + 39421494.

It is an arithmetic number, because the mean of its divisors is an integer number (32915025).

Almost surely, 2^4296936960 is an apocalyptic number.

4296936960 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 4296936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7899606000).

4296936960 is an abundant number, since it is smaller than the sum of its proper divisors (11502275040).

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

4296936960 is a wasteful number, since it uses less digits than its factorization.

4296936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The square root of 4296936960 is about 65551.0256212670. The cubic root of 4296936960 is about 1625.7471227954.

The spelling of 4296936960 in words is "four billion, two hundred ninety-six million, nine hundred thirty-six thousand, nine hundred sixty".