8278644104640 has 448 divisors, whose sum is σ = 35944885509120. Its totient is φ = 1746702766080.

The previous prime is 8278644104629. The next prime is 8278644104651. The reversal of 8278644104640 is 464014468728.

8278644104640 is a `hidden beast` number, since 82 + 7 + 8 + 64 + 41 + 0 + 464 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8278644104629) and next prime (8278644104651).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×8278644104640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4478466 + ... + 6050945.

It is an arithmetic number, because the mean of its divisors is an integer number (80234119440).

Almost surely, 2^{8278644104640} is an apocalyptic number.

8278644104640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8278644104640 is an abundant number, since it is smaller than the sum of its proper divisors (27666241404480).

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

8278644104640 is a wasteful number, since it uses less digits than its factorization.

8278644104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10529457 (or 10529441 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 8278644104640 in words is "eight trillion, two hundred seventy-eight billion, six hundred forty-four million, one hundred four thousand, six hundred forty".