47364393484800 has 2160 divisors, whose sum is σ = 207419776641792. Its totient is φ = 10277226086400.

The previous prime is 47364393484781. The next prime is 47364393484823. The reversal of 47364393484800 is 848439346374.

47364393484800 is a `hidden beast` number, since 4 + 7 + 3 + 64 + 3 + 93 + 4 + 8 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9274403847 + ... + 9274408953.

Almost surely, 2^{47364393484800} is an apocalyptic number.

47364393484800 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 47364393484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103709888320896).

47364393484800 is an abundant number, since it is smaller than the sum of its proper divisors (160055383156992).

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

47364393484800 is a wasteful number, since it uses less digits than its factorization.

47364393484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5239 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 47364393484800 in words is "forty-seven trillion, three hundred sixty-four billion, three hundred ninety-three million, four hundred eighty-four thousand, eight hundred".