8047009152 has 384 divisors, whose sum is σ = 29565768960. Its totient is φ = 2121541632.

The previous prime is 8047009127. The next prime is 8047009153. The reversal of 8047009152 is 2519007408.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8047009153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2829043 + ... + 2831885.

It is an arithmetic number, because the mean of its divisors is an integer number (76994190).

Almost surely, 2^8047009152 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 8047009152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14782884480).

8047009152 is an abundant number, since it is smaller than the sum of its proper divisors (21518759808).

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

8047009152 is a wasteful number, since it uses less digits than its factorization.

8047009152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 8047009152 is about 89705.1233319480. The cubic root of 8047009152 is about 2003.9097811584.

The spelling of 8047009152 in words is "eight billion, forty-seven million, nine thousand, one hundred fifty-two".