8001937278720 has 3456 divisors, whose sum is σ = 38068382177280. Its totient is φ = 1560674304000.

The previous prime is 8001937278701. The next prime is 8001937278733. The reversal of 8001937278720 is 278727391008.

It is a tau number, because it is divible by the number of its divisors (3456).

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28476644980 + ... + 28476645260.

It is an arithmetic number, because the mean of its divisors is an integer number (11015156880).

Almost surely, 2^{8001937278720} is an apocalyptic number.

8001937278720 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 8001937278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19034191088640).

8001937278720 is an abundant number, since it is smaller than the sum of its proper divisors (30066444898560).

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

8001937278720 is a wasteful number, since it uses less digits than its factorization.

8001937278720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 8001937278720 in words is "eight trillion, one billion, nine hundred thirty-seven million, two hundred seventy-eight thousand, seven hundred twenty".