8648408321280 has 864 divisors, whose sum is σ = 37823321163264. Its totient is φ = 1775394422784.

The previous prime is 8648408321263. The next prime is 8648408321297. The reversal of 8648408321280 is 821238048468.

8648408321280 is a `hidden beast` number, since 8 + 6 + 484 + 0 + 8 + 32 + 128 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8648408321263) and next prime (8648408321297).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38676357 + ... + 38899323.

Almost surely, 2^{8648408321280} is an apocalyptic number.

8648408321280 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 8648408321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18911660581632).

8648408321280 is an abundant number, since it is smaller than the sum of its proper divisors (29174912841984).

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

8648408321280 is a wasteful number, since it uses less digits than its factorization.

8648408321280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223051 (or 223034 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 8648408321280 in words is "eight trillion, six hundred forty-eight billion, four hundred eight million, three hundred twenty-one thousand, two hundred eighty".