4246663680 has 640 divisors, whose sum is σ = 17630300160. Its totient is φ = 948879360.

The previous prime is 4246663661. The next prime is 4246663717. The reversal of 4246663680 is 863666424.

4246663680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×4246663680² = 36068304822062284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32417215 + ... + 32417345.

It is an arithmetic number, because the mean of its divisors is an integer number (27547344).

Almost surely, 2^4246663680 is an apocalyptic number.

4246663680 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 4246663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8815150080).

4246663680 is an abundant number, since it is smaller than the sum of its proper divisors (13383636480).

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

4246663680 is a wasteful number, since it uses less digits than its factorization.

4246663680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 4246663680 is about 65166.4306219084. The cubic root of 4246663680 is about 1619.3819315748.

The spelling of 4246663680 in words is "four billion, two hundred forty-six million, six hundred sixty-three thousand, six hundred eighty".