47404173127680 has 624 divisors, whose sum is σ = 172056355860480. Its totient is φ = 12518248218624.

The previous prime is 47404173127667. The next prime is 47404173127687. The reversal of 47404173127680 is 8672137140474.

It is a happy number.

47404173127680 is a `hidden beast` number, since 4 + 7 + 40 + 417 + 3 + 127 + 68 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47404173127687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512547681 + ... + 512640159.

It is an arithmetic number, because the mean of its divisors is an integer number (275731339520).

Almost surely, 2^{47404173127680} is an apocalyptic number.

47404173127680 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 47404173127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86028177930240).

47404173127680 is an abundant number, since it is smaller than the sum of its proper divisors (124652182732800).

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

47404173127680 is an equidigital number, since it uses as much as digits as its factorization.

47404173127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92626 (or 92592 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 47404173127680 in words is "forty-seven trillion, four hundred four billion, one hundred seventy-three million, one hundred twenty-seven thousand, six hundred eighty".