8072689909536 has 576 divisors, whose sum is σ = 28055305152000. Its totient is φ = 2250980928000.

The previous prime is 8072689909517. The next prime is 8072689909541. The reversal of 8072689909536 is 6359099862708.

8072689909536 is a `hidden beast` number, since 8 + 0 + 7 + 2 + 6 + 89 + 9 + 0 + 9 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 347185911 + ... + 347209161.

It is an arithmetic number, because the mean of its divisors is an integer number (48707127000).

Almost surely, 2^{8072689909536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8072689909536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14027652576000).

8072689909536 is an abundant number, since it is smaller than the sum of its proper divisors (19982615242464).

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

8072689909536 is a wasteful number, since it uses less digits than its factorization.

8072689909536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23482 (or 23461 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 8072689909536 in words is "eight trillion, seventy-two billion, six hundred eighty-nine million, nine hundred nine thousand, five hundred thirty-six".