8278364436480 has 1344 divisors, whose sum is σ = 31184467292160. Its totient is φ = 2105715916800.

The previous prime is 8278364436437. The next prime is 8278364436509. The reversal of 8278364436480 is 846344638728.

It is a happy number.

8278364436480 is a `hidden beast` number, since 8 + 2 + 7 + 83 + 6 + 44 + 36 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 19207341865 + ... + 19207342295.

It is an arithmetic number, because the mean of its divisors is an integer number (23202728640).

Almost surely, 2^{8278364436480} is an apocalyptic number.

8278364436480 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 8278364436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15592233646080).

8278364436480 is an abundant number, since it is smaller than the sum of its proper divisors (22906102855680).

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

8278364436480 is an equidigital number, since it uses as much as digits as its factorization.

8278364436480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 8278364436480 in words is "eight trillion, two hundred seventy-eight billion, three hundred sixty-four million, four hundred thirty-six thousand, four hundred eighty".