4637064960 has 864 divisors, whose sum is σ = 19193061888. Its totient is φ = 1021870080.

The previous prime is 4637064947. The next prime is 4637064961. The reversal of 4637064960 is 694607364.

4637064960 is a `hidden beast` number, since 4 + 637 + 0 + 6 + 4 + 9 + 6 + 0 = 666.

It is a super-3 number, since 3×4637064960³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4637064961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107838699 + ... + 107838741.

It is an arithmetic number, because the mean of its divisors is an integer number (22214192).

Almost surely, 2^4637064960 is an apocalyptic number.

4637064960 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 4637064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9596530944).

4637064960 is an abundant number, since it is smaller than the sum of its proper divisors (14555996928).

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

4637064960 is a wasteful number, since it uses less digits than its factorization.

4637064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 4637064960 is about 68095.9981203007. The cubic root of 4637064960 is about 1667.5584290819.

The spelling of 4637064960 in words is "four billion, six hundred thirty-seven million, sixty-four thousand, nine hundred sixty".