4292640960 has 224 divisors, whose sum is σ = 14059229184. Its totient is φ = 1108992000.

The previous prime is 4292640941. The next prime is 4292640971. The reversal of 4292640960 is 690462924.

4292640960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4292640960² = 36853532822939443200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7517475 + ... + 7518045.

It is an arithmetic number, because the mean of its divisors is an integer number (62764416).

Almost surely, 2^4292640960 is an apocalyptic number.

4292640960 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 4292640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7029614592).

4292640960 is an abundant number, since it is smaller than the sum of its proper divisors (9766588224).

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

4292640960 is a wasteful number, since it uses less digits than its factorization.

4292640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 4292640960 is about 65518.2490608533. The cubic root of 4292640960 is about 1625.2051445940.

The spelling of 4292640960 in words is "four billion, two hundred ninety-two million, six hundred forty thousand, nine hundred sixty".