47081860781760 has 672 divisors, whose sum is σ = 187403933283840. Its totient is φ = 10626374762496.

The previous prime is 47081860781741. The next prime is 47081860781783. The reversal of 47081860781760 is 6718706818074.

47081860781760 is a `hidden beast` number, since 4 + 7 + 0 + 8 + 1 + 8 + 607 + 8 + 17 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×47081860781760² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3803359251 + ... + 3803371629.

It is an arithmetic number, because the mean of its divisors is an integer number (278874900720).

Almost surely, 2^{47081860781760} is an apocalyptic number.

47081860781760 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 47081860781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93701966641920).

47081860781760 is an abundant number, since it is smaller than the sum of its proper divisors (140322072502080).

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

47081860781760 is a wasteful number, since it uses less digits than its factorization.

47081860781760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14765 (or 14752 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 47081860781760 in words is "forty-seven trillion, eighty-one billion, eight hundred sixty million, seven hundred eighty-one thousand, seven hundred sixty".