47469834400 has 144 divisors (see below), whose sum is σ = 123590214720. Its totient is φ = 17741721600.

The previous prime is 47469834367. The next prime is 47469834431. The reversal of 47469834400 is 443896474.

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, 1877845 + ... + 1902955.

It is an arithmetic number, because the mean of its divisors is an integer number (858265380).

Almost surely, 2^47469834400 is an apocalyptic number.

47469834400 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 47469834400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61795107360).

47469834400 is an abundant number, since it is smaller than the sum of its proper divisors (76120380320).

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

47469834400 is a wasteful number, since it uses less digits than its factorization.

47469834400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25287 (or 25274 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 49.

The spelling of 47469834400 in words is "forty-seven billion, four hundred sixty-nine million, eight hundred thirty-four thousand, four hundred".