4975664640 has 160 divisors (see below), whose sum is σ = 16026072480. Its totient is φ = 1316880384.

The previous prime is 4975664621. The next prime is 4975664677. The reversal of 4975664640 is 464665794.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1049796 + ... + 1054524.

It is an arithmetic number, because the mean of its divisors is an integer number (100162953).

Almost surely, 2^4975664640 is an apocalyptic number.

4975664640 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 4975664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8013036240).

4975664640 is an abundant number, since it is smaller than the sum of its proper divisors (11050407840).

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

4975664640 is a wasteful number, since it uses less digits than its factorization.

4975664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4892 (or 4876 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The square root of 4975664640 is about 70538.3912490213. The cubic root of 4975664640 is about 1707.1972417197.

The spelling of 4975664640 in words is "four billion, nine hundred seventy-five million, six hundred sixty-four thousand, six hundred forty".