8011474974720 has 864 divisors, whose sum is σ = 33170941767600. Its totient is φ = 1828813012992.

The previous prime is 8011474974683. The next prime is 8011474974739. The reversal of 8011474974720 is 274794741108.

8011474974720 is a `hidden beast` number, since 8 + 0 + 1 + 14 + 74 + 97 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10418042496 + ... + 10418043264.

Almost surely, 2^{8011474974720} is an apocalyptic number.

8011474974720 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 8011474974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16585470883800).

8011474974720 is an abundant number, since it is smaller than the sum of its proper divisors (25159466792880).

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

8011474974720 is an frugal number, since it uses more digits than its factorization.

8011474974720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 8011474974720 in words is "eight trillion, eleven billion, four hundred seventy-four million, nine hundred seventy-four thousand, seven hundred twenty".