4215329664 has 384 divisors, whose sum is σ = 14781513600. Its totient is φ = 1052061696.

The previous prime is 4215329633. The next prime is 4215329681. The reversal of 4215329664 is 4669235124.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4647099 + ... + 4648005.

It is an arithmetic number, because the mean of its divisors is an integer number (38493525).

Almost surely, 2^4215329664 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 4215329664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7390756800).

4215329664 is an abundant number, since it is smaller than the sum of its proper divisors (10566183936).

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

4215329664 is a wasteful number, since it uses less digits than its factorization.

4215329664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 951 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 4215329664 is about 64925.5701861755. The cubic root of 4215329664 is about 1615.3892244655.

It can be divided in two parts, 42153 and 29664, that added together give a palindrome (71817).

The spelling of 4215329664 in words is "four billion, two hundred fifteen million, three hundred twenty-nine thousand, six hundred sixty-four".