47011756680 has 384 divisors, whose sum is σ = 181934438400. Its totient is φ = 10301644800.

The previous prime is 47011756679. The next prime is 47011756699. The reversal of 47011756680 is 8665711074.

47011756680 is a `hidden beast` number, since 4 + 7 + 0 + 1 + 1 + 7 + 566 + 80 = 666.

47011756680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×47011756680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 8512320 + ... + 8517840.

It is an arithmetic number, because the mean of its divisors is an integer number (473787600).

Almost surely, 2^47011756680 is an apocalyptic number.

47011756680 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 47011756680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90967219200).

47011756680 is an abundant number, since it is smaller than the sum of its proper divisors (134922681720).

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

47011756680 is a wasteful number, since it uses less digits than its factorization.

47011756680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5685 (or 5678 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 47011756680 in words is "forty-seven billion, eleven million, seven hundred fifty-six thousand, six hundred eighty".