47967183175680 has 1152 divisors, whose sum is σ = 175866160296960. Its totient is φ = 12398194851840.

The previous prime is 47967183175643. The next prime is 47967183175697. The reversal of 47967183175680 is 8657138176974.

47967183175680 is a `hidden beast` number, since 47 + 9 + 6 + 7 + 1 + 8 + 3 + 17 + 568 + 0 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 47967183175599 and 47967183175608.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113936301870 + ... + 113936302290.

It is an arithmetic number, because the mean of its divisors is an integer number (152661597480).

Almost surely, 2^{47967183175680} is an apocalyptic number.

47967183175680 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 47967183175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87933080148480).

47967183175680 is an abundant number, since it is smaller than the sum of its proper divisors (127898977121280).

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

47967183175680 is an equidigital number, since it uses as much as digits as its factorization.

47967183175680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 47967183175680 in words is "forty-seven trillion, nine hundred sixty-seven billion, one hundred eighty-three million, one hundred seventy-five thousand, six hundred eighty".