7838330472 has 384 divisors, whose sum is σ = 26383795200. Its totient is φ = 2175102720.

The previous prime is 7838330443. The next prime is 7838330473. The reversal of 7838330472 is 2740338387.

7838330472 is a `hidden beast` number, since 78 + 3 + 83 + 30 + 472 = 666.

It is a super-2 number, since 2×7838330472² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7838330473) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35149353 + ... + 35149575.

It is an arithmetic number, because the mean of its divisors is an integer number (68707800).

Almost surely, 2^7838330472 is an apocalyptic number.

7838330472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7838330472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13191897600).

7838330472 is an abundant number, since it is smaller than the sum of its proper divisors (18545464728).

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

7838330472 is a wasteful number, since it uses less digits than its factorization.

7838330472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 7838330472 is about 88534.3462843658. The cubic root of 7838330472 is about 1986.4357529062.

The spelling of 7838330472 in words is "seven billion, eight hundred thirty-eight million, three hundred thirty thousand, four hundred seventy-two".