47580766339392 has 1344 divisors, whose sum is σ = 171466678656000. Its totient is φ = 12400393420800.

The previous prime is 47580766339391. The next prime is 47580766339427. The reversal of 47580766339392 is 29393366708574.

47580766339392 is a `hidden beast` number, since 4 + 7 + 5 + 80 + 76 + 6 + 3 + 393 + 92 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 47580766339392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47580766339391) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29388983959 + ... + 29388985577.

It is an arithmetic number, because the mean of its divisors is an integer number (127579374000).

Almost surely, 2^{47580766339392} 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 47580766339392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85733339328000).

47580766339392 is an abundant number, since it is smaller than the sum of its proper divisors (123885912316608).

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

47580766339392 is a wasteful number, since it uses less digits than its factorization.

47580766339392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 1234517760, while the sum is 72.

The spelling of 47580766339392 in words is "forty-seven trillion, five hundred eighty billion, seven hundred sixty-six million, three hundred thirty-nine thousand, three hundred ninety-two".