8261974234800 has 2160 divisors, whose sum is σ = 37835122459680. Its totient is φ = 1648130457600.

The previous prime is 8261974234763. The next prime is 8261974234883. The reversal of 8261974234800 is 84324791628.

8261974234800 is a `hidden beast` number, since 8 + 26 + 197 + 423 + 4 + 8 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1829082142 + ... + 1829086658.

It is an arithmetic number, because the mean of its divisors is an integer number (17516260398).

Almost surely, 2^{8261974234800} is an apocalyptic number.

8261974234800 is a gapful number since it is divisible by the number (80) 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 8261974234800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18917561229840).

8261974234800 is an abundant number, since it is smaller than the sum of its proper divisors (29573148224880).

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

8261974234800 is a wasteful number, since it uses less digits than its factorization.

8261974234800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 8261974234800 in words is "eight trillion, two hundred sixty-one billion, nine hundred seventy-four million, two hundred thirty-four thousand, eight hundred".