47956613760 has 1152 divisors, whose sum is σ = 201065941440. Its totient is φ = 10829168640.

The previous prime is 47956613737. The next prime is 47956613767. The reversal of 47956613760 is 6731665974.

It is a happy number.

47956613760 is a `hidden beast` number, since 4 + 7 + 9 + 566 + 1 + 3 + 76 + 0 = 666.

47956613760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 47956613697 and 47956613706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47956613767) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 494398032 + ... + 494398128.

Almost surely, 2^47956613760 is an apocalyptic number.

47956613760 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 47956613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100532970720).

47956613760 is an abundant number, since it is smaller than the sum of its proper divisors (153109327680).

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

47956613760 is a wasteful number, since it uses less digits than its factorization.

47956613760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 47956613760 in words is "forty-seven billion, nine hundred fifty-six million, six hundred thirteen thousand, seven hundred sixty".