4807567296 has 224 divisors, whose sum is σ = 16674754560. Its totient is φ = 1329177600.

The previous prime is 4807567279. The next prime is 4807567409. The reversal of 4807567296 is 6927657084.

4807567296 is a `hidden beast` number, since 480 + 7 + 5 + 6 + 72 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×4807567296³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 368566 + ... + 381386.

Almost surely, 2^4807567296 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 4807567296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8337377280).

4807567296 is an abundant number, since it is smaller than the sum of its proper divisors (11867187264).

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

4807567296 is a wasteful number, since it uses less digits than its factorization.

4807567296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12880 (or 12864 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 4807567296 is about 69336.6230501602. The cubic root of 4807567296 is about 1687.7513241480.

The spelling of 4807567296 in words is "four billion, eight hundred seven million, five hundred sixty-seven thousand, two hundred ninety-six".