6407128512 has 196 divisors, whose sum is σ = 19289176560. Its totient is φ = 2110344192.

The previous prime is 6407128463. The next prime is 6407128517. The reversal of 6407128512 is 2158217046.

6407128512 is a `hidden beast` number, since 640 + 7 + 1 + 2 + 8 + 5 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6407128517) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4151613 + ... + 4153155.

Almost surely, 2^6407128512 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 6407128512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9644588280).

6407128512 is an abundant number, since it is smaller than the sum of its proper divisors (12882048048).

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

6407128512 is an equidigital number, since it uses as much as digits as its factorization.

6407128512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 6407128512 is about 80044.5408007317. The cubic root of 6407128512 is about 1857.3246031250.

The spelling of 6407128512 in words is "six billion, four hundred seven million, one hundred twenty-eight thousand, five hundred twelve".