128472719760 has 1680 divisors, whose sum is σ = 586259387712. Its totient is φ = 25866086400.

The previous prime is 128472719737. The next prime is 128472719801. The reversal of 128472719760 is 67917274821.

128472719760 is a `hidden beast` number, since 1 + 28 + 472 + 7 + 1 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-3 number, since 3×128472719760³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 128472719697 and 128472719706.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1917503247 + ... + 1917503313.

Almost surely, 2^128472719760 is an apocalyptic number.

128472719760 is a gapful number since it is divisible by the number (10) 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 128472719760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293129693856).

128472719760 is an abundant number, since it is smaller than the sum of its proper divisors (457786667952).

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

128472719760 is a wasteful number, since it uses less digits than its factorization.

128472719760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 128472719760 in words is "one hundred twenty-eight billion, four hundred seventy-two million, seven hundred nineteen thousand, seven hundred sixty".