47333664400 has 480 divisors, whose sum is σ = 137498342400. Its totient is φ = 15458304000.

The previous prime is 47333664397. The next prime is 47333664419. The reversal of 47333664400 is 446633374.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 317675526 + ... + 317675674.

It is an arithmetic number, because the mean of its divisors is an integer number (286454880).

Almost surely, 2^47333664400 is an apocalyptic number.

47333664400 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 47333664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68749171200).

47333664400 is an abundant number, since it is smaller than the sum of its proper divisors (90164678000).

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

47333664400 is a wasteful number, since it uses less digits than its factorization.

47333664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 40.

The spelling of 47333664400 in words is "forty-seven billion, three hundred thirty-three million, six hundred sixty-four thousand, four hundred".