8274012364800 has 4032 divisors, whose sum is σ = 39879813153600. Its totient is φ = 1685528248320.

The previous prime is 8274012364769. The next prime is 8274012364817. The reversal of 8274012364800 is 84632104728.

It is a happy number.

8274012364800 is a `hidden beast` number, since 8 + 2 + 7 + 40 + 123 + 6 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×8274012364800² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 285310771186 + ... + 285310771214.

It is an arithmetic number, because the mean of its divisors is an integer number (9890826675).

Almost surely, 2^{8274012364800} is an apocalyptic number.

8274012364800 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 8274012364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19939906576800).

8274012364800 is an abundant number, since it is smaller than the sum of its proper divisors (31605800788800).

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

8274012364800 is an equidigital number, since it uses as much as digits as its factorization.

8274012364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 8274012364800 in words is "eight trillion, two hundred seventy-four billion, twelve million, three hundred sixty-four thousand, eight hundred".