4526681760000 has 945 divisors, whose sum is σ = 17015105502241. Its totient is φ = 1200987648000.

The previous prime is 4526681759969. The next prime is 4526681760011. The reversal of 4526681760000 is 671866254.

The square root of 4526681760000 is 2127600.

It is a perfect power (a square), and thus also a powerful number.

4526681760000 is a `hidden beast` number, since 4 + 5 + 26 + 6 + 8 + 17 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 774371840256 + 3752309919744 = 879984^2 + 1937088^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 22978079902 + ... + 22978080098.

Almost surely, 2^{4526681760000} is an apocalyptic number.

4526681760000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4526681760000 is the 2127600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4526681760000

4526681760000 is an abundant number, since it is smaller than the sum of its proper divisors (12488423742241).

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

4526681760000 is an frugal number, since it uses more digits than its factorization.

4526681760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 4526681760000 in words is "four trillion, five hundred twenty-six billion, six hundred eighty-one million, seven hundred sixty thousand".