6128436294864 has 360 divisors, whose sum is σ = 19623263718240. Its totient is φ = 1850083462656.

The previous prime is 6128436294823. The next prime is 6128436294971. The reversal of 6128436294864 is 4684926348216.

It is a happy number.

6128436294864 is a `hidden beast` number, since 6 + 1 + 284 + 3 + 6 + 294 + 8 + 64 = 666.

It is a super-3 number, since 3×6128436294864³ (a number of 39 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 34736827 + ... + 34912805.

It is an arithmetic number, because the mean of its divisors is an integer number (54509065884).

Almost surely, 2^{6128436294864} 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 6128436294864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9811631859120).

6128436294864 is an abundant number, since it is smaller than the sum of its proper divisors (13494827423376).

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

6128436294864 is a wasteful number, since it uses less digits than its factorization.

6128436294864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176081 (or 176050 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 63.

The spelling of 6128436294864 in words is "six trillion, one hundred twenty-eight billion, four hundred thirty-six million, two hundred ninety-four thousand, eight hundred sixty-four".