4640972544 has 432 divisors, whose sum is σ = 15485752800. Its totient is φ = 1368686592.

The previous prime is 4640972533. The next prime is 4640972569. The reversal of 4640972544 is 4452790464.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 4640972544.

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, 33875644 + ... + 33875780.

It is an arithmetic number, because the mean of its divisors is an integer number (35846650).

Almost surely, 2^4640972544 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 4640972544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7742876400).

4640972544 is an abundant number, since it is smaller than the sum of its proper divisors (10844780256).

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

4640972544 is a wasteful number, since it uses less digits than its factorization.

4640972544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4640972544 is about 68124.6838084405. The cubic root of 4640972544 is about 1668.0267062646.

The spelling of 4640972544 in words is "four billion, six hundred forty million, nine hundred seventy-two thousand, five hundred forty-four".