4960643952 has 320 divisors, whose sum is σ = 15144744960. Its totient is φ = 1384857600.

The previous prime is 4960643929. The next prime is 4960643969. The reversal of 4960643952 is 2593460694.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43899448 + ... + 43899560.

It is an arithmetic number, because the mean of its divisors is an integer number (47327328).

Almost surely, 2^4960643952 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 4960643952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7572372480).

4960643952 is an abundant number, since it is smaller than the sum of its proper divisors (10184101008).

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

4960643952 is a wasteful number, since it uses less digits than its factorization.

4960643952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The square root of 4960643952 is about 70431.8390502477. The cubic root of 4960643952 is about 1705.4775971041.

The spelling of 4960643952 in words is "four billion, nine hundred sixty million, six hundred forty-three thousand, nine hundred fifty-two".