8330902272 has 432 divisors, whose sum is σ = 30969379840. Its totient is φ = 2162350080.

The previous prime is 8330902267. The next prime is 8330902291. The reversal of 8330902272 is 2722090338.

8330902272 is a `hidden beast` number, since 83 + 309 + 0 + 2 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×8330902272² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5853753 + ... + 5855175.

Almost surely, 2^8330902272 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 8330902272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15484689920).

8330902272 is an abundant number, since it is smaller than the sum of its proper divisors (22638477568).

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

8330902272 is a wasteful number, since it uses less digits than its factorization.

8330902272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 8330902272 is about 91273.7764749547. The cubic root of 8330902272 is about 2027.2034966022.

The spelling of 8330902272 in words is "eight billion, three hundred thirty million, nine hundred two thousand, two hundred seventy-two".