7955769040128 has 648 divisors, whose sum is σ = 29130109132488. Its totient is φ = 2069454127104.

The previous prime is 7955769040117. The next prime is 7955769040133. The reversal of 7955769040128 is 8210409675597.

7955769040128 is a `hidden beast` number, since 7 + 9 + 5 + 576 + 9 + 0 + 40 + 12 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108868322304 + 7846900717824 = 329952^2 + 2801232^2 .

It is a super-2 number, since 2×7955769040128² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 107101176 + ... + 107175432.

Almost surely, 2^{7955769040128} is an apocalyptic number.

7955769040128 is a gapful number since it is divisible by the number (78) 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 7955769040128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14565054566244).

7955769040128 is an abundant number, since it is smaller than the sum of its proper divisors (21174340092360).

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

7955769040128 is a wasteful number, since it uses less digits than its factorization.

7955769040128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74379 (or 74355 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 7955769040128 in words is "seven trillion, nine hundred fifty-five billion, seven hundred sixty-nine million, forty thousand, one hundred twenty-eight".