7745712128 has 208 divisors, whose sum is σ = 19815667200. Its totient is φ = 2939289600.

The previous prime is 7745712103. The next prime is 7745712137. The reversal of 7745712128 is 8212175477.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12930773 + ... + 12931371.

Almost surely, 2^7745712128 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 7745712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9907833600).

7745712128 is an abundant number, since it is smaller than the sum of its proper divisors (12069955072).

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

7745712128 is a wasteful number, since it uses less digits than its factorization.

7745712128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 660 counting only the distinct ones).

The product of its digits is 219520, while the sum is 44.

The square root of 7745712128 is about 88009.7274623663. The cubic root of 7745712128 is about 1978.5807712180.

The spelling of 7745712128 in words is "seven billion, seven hundred forty-five million, seven hundred twelve thousand, one hundred twenty-eight".