47729507904 has 448 divisors, whose sum is σ = 162078497280. Its totient is φ = 13813161984.

The previous prime is 47729507893. The next prime is 47729507933. The reversal of 47729507904 is 40970592774.

47729507904 is a `hidden beast` number, since 47 + 7 + 2 + 9 + 507 + 90 + 4 = 666.

47729507904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30932157 + ... + 30933699.

It is an arithmetic number, because the mean of its divisors is an integer number (361782360).

Almost surely, 2^47729507904 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 47729507904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81039248640).

47729507904 is an abundant number, since it is smaller than the sum of its proper divisors (114348989376).

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

47729507904 is a wasteful number, since it uses less digits than its factorization.

47729507904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 47729507904 in words is "forty-seven billion, seven hundred twenty-nine million, five hundred seven thousand, nine hundred four".