47340806400 has 1080 divisors, whose sum is σ = 187689237120. Its totient is φ = 11751505920.

The previous prime is 47340806377. The next prime is 47340806419. The reversal of 47340806400 is 460804374.

47340806400 is a `hidden beast` number, since 4 + 7 + 3 + 4 + 0 + 8 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 706579167 + ... + 706579233.

Almost surely, 2^47340806400 is an apocalyptic number.

47340806400 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 47340806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93844618560).

47340806400 is an abundant number, since it is smaller than the sum of its proper divisors (140348430720).

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

47340806400 is a wasteful number, since it uses less digits than its factorization.

47340806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 47340806400 in words is "forty-seven billion, three hundred forty million, eight hundred six thousand, four hundred".