47893623720480 has 288 divisors, whose sum is σ = 172065427934400. Its totient is φ = 12097578756096.

The previous prime is 47893623720479. The next prime is 47893623720577. The reversal of 47893623720480 is 8402732639874.

47893623720480 is a `hidden beast` number, since 4 + 7 + 8 + 93 + 62 + 3 + 7 + 2 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182058802 + ... + 182321678.

It is an arithmetic number, because the mean of its divisors is an integer number (597449402550).

Almost surely, 2^{47893623720480} is an apocalyptic number.

47893623720480 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 47893623720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86032713967200).

47893623720480 is an abundant number, since it is smaller than the sum of its proper divisors (124171804213920).

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

47893623720480 is a wasteful number, since it uses less digits than its factorization.

47893623720480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269576 (or 269565 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 47893623720480 in words is "forty-seven trillion, eight hundred ninety-three billion, six hundred twenty-three million, seven hundred twenty thousand, four hundred eighty".