7838056512 has 336 divisors, whose sum is σ = 27020081088. Its totient is φ = 2140508160.

The previous prime is 7838056489. The next prime is 7838056517. The reversal of 7838056512 is 2156508387.

7838056512 is a `hidden beast` number, since 7 + 8 + 3 + 80 + 56 + 512 = 666.

It is a super-2 number, since 2×7838056512² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7838056517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3540718 + ... + 3542930.

It is an arithmetic number, because the mean of its divisors is an integer number (80416908).

Almost surely, 2^7838056512 is an apocalyptic number.

7838056512 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 7838056512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13510040544).

7838056512 is an abundant number, since it is smaller than the sum of its proper divisors (19182024576).

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

7838056512 is a wasteful number, since it uses less digits than its factorization.

7838056512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 7838056512 is about 88532.7990746932. The cubic root of 7838056512 is about 1986.4126097857.

The spelling of 7838056512 in words is "seven billion, eight hundred thirty-eight million, fifty-six thousand, five hundred twelve".