47873002400 has 144 divisors (see below), whose sum is σ = 120894762240. Its totient is φ = 18492364800.

The previous prime is 47873002399. The next prime is 47873002409. The reversal of 47873002400 is 420037874.

It is a Cunningham number, because it is equal to 218799²-1.

It is not an unprimeable number, because it can be changed into a prime (47873002409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13563836 + ... + 13567364.

It is an arithmetic number, because the mean of its divisors is an integer number (839546960).

Almost surely, 2^47873002400 is an apocalyptic number.

47873002400 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 47873002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60447381120).

47873002400 is an abundant number, since it is smaller than the sum of its proper divisors (73021759840).

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

47873002400 is a wasteful number, since it uses less digits than its factorization.

47873002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The spelling of 47873002400 in words is "forty-seven billion, eight hundred seventy-three million, two thousand, four hundred".