7838794656 has 768 divisors, whose sum is σ = 31352832000. Its totient is φ = 1842462720.

The previous prime is 7838794651. The next prime is 7838794661. The reversal of 7838794656 is 6564978387.

7838794656 is a `hidden beast` number, since 78 + 38 + 79 + 465 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (7838794651) and next prime (7838794661).

It is a super-2 number, since 2×7838794656² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 7838794593 and 7838794602.

It is not an unprimeable number, because it can be changed into a prime (7838794651) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32798185 + ... + 32798423.

It is an arithmetic number, because the mean of its divisors is an integer number (40824000).

Almost surely, 2^7838794656 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 7838794656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15676416000).

7838794656 is an abundant number, since it is smaller than the sum of its proper divisors (23514037344).

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

7838794656 is a wasteful number, since it uses less digits than its factorization.

7838794656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 308 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The square root of 7838794656 is about 88536.9677366466. The cubic root of 7838794656 is about 1986.4749642108.

The spelling of 7838794656 in words is "seven billion, eight hundred thirty-eight million, seven hundred ninety-four thousand, six hundred fifty-six".