47790757195776 has 3120 divisors, whose sum is σ = 188961258816000. Its totient is φ = 11974273597440.

The previous prime is 47790757195751. The next prime is 47790757195777. The reversal of 47790757195776 is 67759175709774.

47790757195776 is a `hidden beast` number, since 477 + 9 + 0 + 7 + 5 + 71 + 9 + 5 + 7 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 47790757195695 and 47790757195704.

It is not an unprimeable number, because it can be changed into a prime (47790757195777) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1541637328881 + ... + 1541637328911.

Almost surely, 2^{47790757195776} is an apocalyptic number.

47790757195776 is a gapful number since it is divisible by the number (46) 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 47790757195776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94480629408000).

47790757195776 is an abundant number, since it is smaller than the sum of its proper divisors (141170501620224).

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

47790757195776 is an equidigital number, since it uses as much as digits as its factorization.

47790757195776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 5717741400, while the sum is 81.

The spelling of 47790757195776 in words is "forty-seven trillion, seven hundred ninety billion, seven hundred fifty-seven million, one hundred ninety-five thousand, seven hundred seventy-six".