47676349687680 has 1152 divisors, whose sum is σ = 195190212672000. Its totient is φ = 10688932896768.

The previous prime is 47676349687663. The next prime is 47676349687723. The reversal of 47676349687680 is 8678694367674.

47676349687680 is a `hidden beast` number, since 4 + 7 + 6 + 7 + 63 + 496 + 8 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 47676349687680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8109598981 + ... + 8109604859.

It is an arithmetic number, because the mean of its divisors is an integer number (169435948500).

Almost surely, 2^{47676349687680} is an apocalyptic number.

47676349687680 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 47676349687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97595106336000).

47676349687680 is an abundant number, since it is smaller than the sum of its proper divisors (147513862984320).

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

47676349687680 is a wasteful number, since it uses less digits than its factorization.

47676349687680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6464 (or 6442 counting only the distinct ones).

The product of its (nonzero) digits is 12290310144, while the sum is 81.

The spelling of 47676349687680 in words is "forty-seven trillion, six hundred seventy-six billion, three hundred forty-nine million, six hundred eighty-seven thousand, six hundred eighty".