47364602400 has 216 divisors, whose sum is σ = 172407965184. Its totient is φ = 12223065600.

The previous prime is 47364602387. The next prime is 47364602401. The reversal of 47364602400 is 420646374.

47364602400 is a `hidden beast` number, since 4 + 7 + 3 + 6 + 4 + 602 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47364602401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117097 + ... + 329303.

It is an arithmetic number, because the mean of its divisors is an integer number (798185024).

Almost surely, 2^47364602400 is an apocalyptic number.

47364602400 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 47364602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86203982592).

47364602400 is an abundant number, since it is smaller than the sum of its proper divisors (125043362784).

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

47364602400 is a wasteful number, since it uses less digits than its factorization.

47364602400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212264 (or 212248 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 47364602400 in words is "forty-seven billion, three hundred sixty-four million, six hundred two thousand, four hundred".