4973933952 has 192 divisors, whose sum is σ = 15986202960. Its totient is φ = 1530316800.

The previous prime is 4973933947. The next prime is 4973933953. The reversal of 4973933952 is 2593393794.

4973933952 is a `hidden beast` number, since 497 + 39 + 33 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4973933953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398202 + ... + 410502.

Almost surely, 2^4973933952 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 4973933952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7993101480).

4973933952 is an abundant number, since it is smaller than the sum of its proper divisors (11012269008).

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

4973933952 is a wasteful number, since it uses less digits than its factorization.

4973933952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12343 (or 12319 counting only the distinct ones).

The product of its digits is 5511240, while the sum is 54.

The square root of 4973933952 is about 70526.1224795465. The cubic root of 4973933952 is about 1706.9992803330. Note that the first 3 decimals are identical.

The spelling of 4973933952 in words is "four billion, nine hundred seventy-three million, nine hundred thirty-three thousand, nine hundred fifty-two".