4216656960 has 224 divisors, whose sum is σ = 14918618880. Its totient is φ = 1121181696.

The previous prime is 4216656919. The next prime is 4216656989. The reversal of 4216656960 is 696566124.

4216656960 is a `hidden beast` number, since 4 + 21 + 6 + 6 + 569 + 60 = 666.

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 31 ways as a sum of consecutive naturals, for example, 5123109 + ... + 5123931.

Almost surely, 2^4216656960 is an apocalyptic number.

4216656960 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 4216656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7459309440).

4216656960 is an abundant number, since it is smaller than the sum of its proper divisors (10701961920).

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

4216656960 is a wasteful number, since it uses less digits than its factorization.

4216656960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4216656960 is about 64935.7910554726. The cubic root of 4216656960 is about 1615.5587544767.

The spelling of 4216656960 in words is "four billion, two hundred sixteen million, six hundred fifty-six thousand, nine hundred sixty".