47381967360 has 1440 divisors, whose sum is σ = 216488143872. Its totient is φ = 9674588160.

The previous prime is 47381967359. The next prime is 47381967389. The reversal of 47381967360 is 6376918374.

47381967360 is a `hidden beast` number, since 473 + 81 + 9 + 67 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 47381967297 and 47381967306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1528450545 + ... + 1528450575.

Almost surely, 2^47381967360 is an apocalyptic number.

47381967360 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 47381967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108244071936).

47381967360 is an abundant number, since it is smaller than the sum of its proper divisors (169106176512).

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

47381967360 is an frugal number, since it uses more digits than its factorization.

47381967360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 47381967360 in words is "forty-seven billion, three hundred eighty-one million, nine hundred sixty-seven thousand, three hundred sixty".