6128914496640 has 256 divisors, whose sum is σ = 21304996876800. Its totient is φ = 1489558487040.

The previous prime is 6128914496633. The next prime is 6128914496707. The reversal of 6128914496640 is 466944198216.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417730 + ... + 3525950.

It is an arithmetic number, because the mean of its divisors is an integer number (83222644050).

Almost surely, 2^{6128914496640} is an apocalyptic number.

6128914496640 is a gapful number since it is divisible by the number (60) 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 6128914496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10652498438400).

6128914496640 is an abundant number, since it is smaller than the sum of its proper divisors (15176082380160).

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

6128914496640 is a wasteful number, since it uses less digits than its factorization.

6128914496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108335 (or 3108323 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 6128914496640 in words is "six trillion, one hundred twenty-eight billion, nine hundred fourteen million, four hundred ninety-six thousand, six hundred forty".