47378763048960 has 2304 divisors, whose sum is σ = 211209223680000. Its totient is φ = 9571711057920.

The previous prime is 47378763048943. The next prime is 47378763048961. The reversal of 47378763048960 is 6984036787374.

It is a happy number.

47378763048960 is a `hidden beast` number, since 4 + 7 + 3 + 7 + 87 + 6 + 3 + 0 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (47378763048961) 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, 11558612991 + ... + 11558617089.

It is an arithmetic number, because the mean of its divisors is an integer number (91670670000).

Almost surely, 2^{47378763048960} is an apocalyptic number.

47378763048960 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 47378763048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105604611840000).

47378763048960 is an abundant number, since it is smaller than the sum of its proper divisors (163830460631040).

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

47378763048960 is a wasteful number, since it uses less digits than its factorization.

47378763048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4222 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 72.

The spelling of 47378763048960 in words is "forty-seven trillion, three hundred seventy-eight billion, seven hundred sixty-three million, forty-eight thousand, nine hundred sixty".