47323786400 has 288 divisors, whose sum is σ = 133191475200. Its totient is φ = 16238361600.

The previous prime is 47323786399. The next prime is 47323786403. The reversal of 47323786400 is 468732374.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (47323786403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64037231 + ... + 64037969.

It is an arithmetic number, because the mean of its divisors is an integer number (462470400).

Almost surely, 2^47323786400 is an apocalyptic number.

47323786400 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 47323786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66595737600).

47323786400 is an abundant number, since it is smaller than the sum of its proper divisors (85867688800).

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

47323786400 is a wasteful number, since it uses less digits than its factorization.

47323786400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 44.

The spelling of 47323786400 in words is "forty-seven billion, three hundred twenty-three million, seven hundred eighty-six thousand, four hundred".