4215867264 has 576 divisors, whose sum is σ = 15501682560. Its totient is φ = 1116758016.

The previous prime is 4215867211. The next prime is 4215867343. The reversal of 4215867264 is 4627685124.

4215867264 = 72³ + 73³ + ... + 360³.

4215867264 is a `hidden beast` number, since 4 + 2 + 1 + 586 + 7 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

Its product of digits (645120) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62923359 + ... + 62923425.

Almost surely, 2^4215867264 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 4215867264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7750841280).

4215867264 is an abundant number, since it is smaller than the sum of its proper divisors (11285815296).

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

4215867264 is an equidigital number, since it uses as much as digits as its factorization.

4215867264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 96 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 4215867264 is about 64929.7101795472. The cubic root of 4215867264 is about 1615.4578941703.

It can be divided in two parts, 421 and 5867264, that added together give a palindrome (5867685).

The spelling of 4215867264 in words is "four billion, two hundred fifteen million, eight hundred sixty-seven thousand, two hundred sixty-four".