128319764196672 has 560 divisors, whose sum is σ = 401416610740992. Its totient is φ = 40450727116800.

The previous prime is 128319764196641. The next prime is 128319764196683. The reversal of 128319764196672 is 276691467913821.

128319764196672 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 19 + 76 + 419 + 66 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 128319764196672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12641090797 + ... + 12641100947.

Almost surely, 2^{128319764196672} is an apocalyptic number.

128319764196672 is a gapful number since it is divisible by the number (12) 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 128319764196672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200708305370496).

128319764196672 is an abundant number, since it is smaller than the sum of its proper divisors (273096846544320).

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

128319764196672 is a wasteful number, since it uses less digits than its factorization.

128319764196672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11388 (or 11369 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 128319764196672 in words is "one hundred twenty-eight trillion, three hundred nineteen billion, seven hundred sixty-four million, one hundred ninety-six thousand, six hundred seventy-two".