47450726400 has 1344 divisors, whose sum is σ = 210625090560. Its totient is φ = 9122611200.

The previous prime is 47450726377. The next prime is 47450726443. The reversal of 47450726400 is 462705474.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 804249571 + ... + 804249629.

Almost surely, 2^47450726400 is an apocalyptic number.

47450726400 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 47450726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105312545280).

47450726400 is an abundant number, since it is smaller than the sum of its proper divisors (163174364160).

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

47450726400 is a wasteful number, since it uses less digits than its factorization.

47450726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 47450726400 in words is "forty-seven billion, four hundred fifty million, seven hundred twenty-six thousand, four hundred".