4526796960 has 288 divisors, whose sum is σ = 17708326272. Its totient is φ = 1031546880.

The previous prime is 4526796959. The next prime is 4526796973. The reversal of 4526796960 is 696976254.

4526796960 is a `hidden beast` number, since 452 + 6 + 79 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 4526796897 and 4526796906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5513350 + ... + 5514170.

It is an arithmetic number, because the mean of its divisors is an integer number (61487244).

Almost surely, 2^4526796960 is an apocalyptic number.

4526796960 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 4526796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8854163136).

4526796960 is an abundant number, since it is smaller than the sum of its proper divisors (13181529312).

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

4526796960 is a wasteful number, since it uses less digits than its factorization.

4526796960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 4526796960 is about 67281.4756080751. The cubic root of 4526796960 is about 1654.2342377322.

The spelling of 4526796960 in words is "four billion, five hundred twenty-six million, seven hundred ninety-six thousand, nine hundred sixty".