8047931961888 has 1536 divisors, whose sum is σ = 32317663150080. Its totient is φ = 1887858524160.

The previous prime is 8047931961833. The next prime is 8047931961893. The reversal of 8047931961888 is 8881691397408.

8047931961888 is a `hidden beast` number, since 8 + 0 + 479 + 3 + 19 + 61 + 8 + 88 = 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 255 ways as a sum of consecutive naturals, for example, 1781696206 + ... + 1781700722.

It is an arithmetic number, because the mean of its divisors is an integer number (21040145280).

Almost surely, 2^{8047931961888} 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 8047931961888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16158831575040).

8047931961888 is an abundant number, since it is smaller than the sum of its proper divisors (24269731188192).

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

8047931961888 is a wasteful number, since it uses less digits than its factorization.

8047931961888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4647 (or 4633 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 72.

The spelling of 8047931961888 in words is "eight trillion, forty-seven billion, nine hundred thirty-one million, nine hundred sixty-one thousand, eight hundred eighty-eight".