47676732779520 has 2816 divisors, whose sum is σ = 195580313026560. Its totient is φ = 10931090227200.

The previous prime is 47676732779513. The next prime is 47676732779537. The reversal of 47676732779520 is 2597723767674.

47676732779520 is a `hidden beast` number, since 4 + 7 + 6 + 7 + 6 + 7 + 3 + 27 + 79 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 197828766600 + ... + 197828766840.

It is an arithmetic number, because the mean of its divisors is an integer number (69453236160).

Almost surely, 2^{47676732779520} is an apocalyptic number.

47676732779520 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 47676732779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97790156513280).

47676732779520 is an abundant number, since it is smaller than the sum of its proper divisors (147903580247040).

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

47676732779520 is a wasteful number, since it uses less digits than its factorization.

47676732779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1306912320, while the sum is 72.

The spelling of 47676732779520 in words is "forty-seven trillion, six hundred seventy-six billion, seven hundred thirty-two million, seven hundred seventy-nine thousand, five hundred twenty".