4605972756 has 120 divisors (see below), whose sum is σ = 13678470624. Its totient is φ = 1196274240.

The previous prime is 4605972751. The next prime is 4605972797. The reversal of 4605972756 is 6572795064.

It is a junction number, because it is equal to n+sod(n) for n = 4605972699 and 4605972708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4605972751) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 309666 + ... + 324198.

Almost surely, 2^4605972756 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 4605972756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6839235312).

4605972756 is an abundant number, since it is smaller than the sum of its proper divisors (9072497868).

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

4605972756 is a wasteful number, since it uses less digits than its factorization.

4605972756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14579 (or 14556 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The square root of 4605972756 is about 67867.3172889573. The cubic root of 4605972756 is about 1663.8229927016.

The spelling of 4605972756 in words is "four billion, six hundred five million, nine hundred seventy-two thousand, seven hundred fifty-six".