47362316400 has 360 divisors, whose sum is σ = 189287539584. Its totient is φ = 10742284800.

The previous prime is 47362316399. The next prime is 47362316423. The reversal of 47362316400 is 461326374.

It is a happy number.

47362316400 is a `hidden beast` number, since 4 + 7 + 3 + 6 + 2 + 3 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3294027 + ... + 3308373.

Almost surely, 2^47362316400 is an apocalyptic number.

47362316400 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 47362316400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94643769792).

47362316400 is an abundant number, since it is smaller than the sum of its proper divisors (141925223184).

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

47362316400 is a wasteful number, since it uses less digits than its factorization.

47362316400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14509 (or 14495 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 47362316400 in words is "forty-seven billion, three hundred sixty-two million, three hundred sixteen thousand, four hundred".