4216207464 has 384 divisors, whose sum is σ = 14886144000. Its totient is φ = 1090070784.

The previous prime is 4216207453. The next prime is 4216207481. The reversal of 4216207464 is 4647026124.

4216207464 is a `hidden beast` number, since 4 + 21 + 620 + 7 + 4 + 6 + 4 = 666.

It is a super-2 number, since 2×4216207464² = 35552810758978622592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5946342 + ... + 5947050.

It is an arithmetic number, because the mean of its divisors is an integer number (38766000).

Almost surely, 2^4216207464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4216207464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7443072000).

4216207464 is an abundant number, since it is smaller than the sum of its proper divisors (10669936536).

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

4216207464 is a wasteful number, since it uses less digits than its factorization.

4216207464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4216207464 is about 64932.3298827325. The cubic root of 4216207464 is about 1615.5013462020.

The spelling of 4216207464 in words is "four billion, two hundred sixteen million, two hundred seven thousand, four hundred sixty-four".