4007664960 has 448 divisors, whose sum is σ = 14323454208. Its totient is φ = 943128576.

The previous prime is 4007664937. The next prime is 4007664961. The reversal of 4007664960 is 694667004.

It is a super-2 number, since 2×4007664960² = 32122756863223603200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007664961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48285079 + ... + 48285161.

It is an arithmetic number, because the mean of its divisors is an integer number (31971996).

Almost surely, 2^4007664960 is an apocalyptic number.

4007664960 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 4007664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7161727104).

4007664960 is an abundant number, since it is smaller than the sum of its proper divisors (10315789248).

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

4007664960 is a wasteful number, since it uses less digits than its factorization.

4007664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 4007664960 is about 63306.1210310662. The cubic root of 4007664960 is about 1588.4143521321.

The spelling of 4007664960 in words is "four billion, seven million, six hundred sixty-four thousand, nine hundred sixty".