7838886025728 has 200 divisors, whose sum is σ = 23628676925700. Its totient is φ = 2587089715200.

The previous prime is 7838886025717. The next prime is 7838886025739. The reversal of 7838886025728 is 8275206888387.

It is a happy number.

7838886025728 is a `hidden beast` number, since 7 + 8 + 3 + 8 + 8 + 8 + 602 + 5 + 7 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (7838886025717) and next prime (7838886025739).

It can be written as a sum of positive squares in 2 ways, for example, as 4723632785664 + 3115253240064 = 2173392^2 + 1765008^2 .

It is a super-2 number, since 2×7838886025728² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3252948 + ... + 5124396.

Almost surely, 2^{7838886025728} 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 7838886025728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11814338462850).

7838886025728 is an abundant number, since it is smaller than the sum of its proper divisors (15789790899972).

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

7838886025728 is a wasteful number, since it uses less digits than its factorization.

7838886025728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871580 (or 1871555 counting only the distinct ones).

The product of its (nonzero) digits is 578027520, while the sum is 72.

The spelling of 7838886025728 in words is "seven trillion, eight hundred thirty-eight billion, eight hundred eighty-six million, twenty-five thousand, seven hundred twenty-eight".