4506826320 has 120 divisors (see below), whose sum is σ = 15154244352. Its totient is φ = 1200326400.

The previous prime is 4506826301. The next prime is 4506826349. The reversal of 4506826320 is 236286054.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-4 number, since 4×4506826320⁴ (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652485 + ... + 659355.

Almost surely, 2^4506826320 is an apocalyptic number.

4506826320 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 4506826320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7577122176).

4506826320 is an abundant number, since it is smaller than the sum of its proper divisors (10647418032).

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

4506826320 is a wasteful number, since it uses less digits than its factorization.

4506826320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7801 (or 7792 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4506826320 is about 67132.9004289253. The cubic root of 4506826320 is about 1651.7980179355.

The spelling of 4506826320 in words is "four billion, five hundred six million, eight hundred twenty-six thousand, three hundred twenty".