8133979392 has 1152 divisors, whose sum is σ = 33907507200. Its totient is φ = 1857945600.

The previous prime is 8133979387. The next prime is 8133979457. The reversal of 8133979392 is 2939793318.

8133979392 is a `hidden beast` number, since 81 + 3 + 397 + 93 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 262386417 + ... + 262386447.

It is an arithmetic number, because the mean of its divisors is an integer number (29433600).

Almost surely, 2^8133979392 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 8133979392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16953753600).

8133979392 is an abundant number, since it is smaller than the sum of its proper divisors (25773527808).

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

8133979392 is a wasteful number, since it uses less digits than its factorization.

8133979392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 8133979392 is about 90188.5768376461. The cubic root of 8133979392 is about 2011.1031947983.

The spelling of 8133979392 in words is "eight billion, one hundred thirty-three million, nine hundred seventy-nine thousand, three hundred ninety-two".