47678629824 has 168 divisors, whose sum is σ = 156277056000. Its totient is φ = 13614469632.

The previous prime is 47678629819. The next prime is 47678629837. The reversal of 47678629824 is 42892687674.

47678629824 is a `hidden beast` number, since 476 + 7 + 86 + 2 + 9 + 82 + 4 = 666.

47678629824 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 (168).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12089997 + ... + 12093939.

Almost surely, 2^47678629824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47678629824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78138528000).

47678629824 is an abundant number, since it is smaller than the sum of its proper divisors (108598426176).

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

47678629824 is a wasteful number, since it uses less digits than its factorization.

47678629824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6967 (or 6954 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 47678629824 in words is "forty-seven billion, six hundred seventy-eight million, six hundred twenty-nine thousand, eight hundred twenty-four".