47924352000 has 1056 divisors, whose sum is σ = 206773856640. Its totient is φ = 10915430400.

The previous prime is 47924351999. The next prime is 47924352037. The reversal of 47924352000 is 25342974.

47924352000 is a `hidden beast` number, since 4 + 7 + 92 + 43 + 520 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169343859 + ... + 169344141.

Almost surely, 2^47924352000 is an apocalyptic number.

47924352000 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 47924352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103386928320).

47924352000 is an abundant number, since it is smaller than the sum of its proper divisors (158849504640).

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

47924352000 is a wasteful number, since it uses less digits than its factorization.

47924352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 47924352000 its reverse (25342974), we get a palindrome (47949694974).

The spelling of 47924352000 in words is "forty-seven billion, nine hundred twenty-four million, three hundred fifty-two thousand".