8648892720000 has 3840 divisors, whose sum is σ = 38486305440000. Its totient is φ = 1902071808000.

The previous prime is 8648892719969. The next prime is 8648892720031. The reversal of 8648892720000 is 272988468.

8648892720000 is a `hidden beast` number, since 8 + 6 + 488 + 92 + 72 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8648892719969) and next prime (8648892720031).

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 (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 201137039979 + ... + 201137040021.

It is an arithmetic number, because the mean of its divisors is an integer number (10022475375).

Almost surely, 2^{8648892720000} is an apocalyptic number.

8648892720000 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 8648892720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19243152720000).

8648892720000 is an abundant number, since it is smaller than the sum of its proper divisors (29837412720000).

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

8648892720000 is a wasteful number, since it uses less digits than its factorization.

8648892720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 8648892720000 in words is "eight trillion, six hundred forty-eight billion, eight hundred ninety-two million, seven hundred twenty thousand".