47128706694720 has 1568 divisors, whose sum is σ = 199277195974656. Its totient is φ = 10384057958400.

The previous prime is 47128706694709. The next prime is 47128706694761. The reversal of 47128706694720 is 2749660782174.

47128706694720 is a `hidden beast` number, since 4 + 71 + 28 + 70 + 6 + 6 + 9 + 472 + 0 = 666.

It is a super-2 number, since 2×47128706694720² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 14022225840 + ... + 14022229200.

Almost surely, 2^{47128706694720} is an apocalyptic number.

47128706694720 is a gapful number since it is divisible by the number (40) 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 47128706694720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99638597987328).

47128706694720 is an abundant number, since it is smaller than the sum of its proper divisors (152148489279936).

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

47128706694720 is a wasteful number, since it uses less digits than its factorization.

47128706694720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3686 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 47128706694720 in words is "forty-seven trillion, one hundred twenty-eight billion, seven hundred six million, six hundred ninety-four thousand, seven hundred twenty".