47199729024 has 864 divisors, whose sum is σ = 173935344960. Its totient is φ = 12697896960.

The previous prime is 47199729019. The next prime is 47199729053. The reversal of 47199729024 is 42092799174.

47199729024 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 (864).

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 107 ways as a sum of consecutive naturals, for example, 1275668334 + ... + 1275668370.

Almost surely, 2^47199729024 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 47199729024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86967672480).

47199729024 is an abundant number, since it is smaller than the sum of its proper divisors (126735615936).

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

47199729024 is an frugal number, since it uses more digits than its factorization.

47199729024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 47199729024 in words is "forty-seven billion, one hundred ninety-nine million, seven hundred twenty-nine thousand, twenty-four".