47756016000 has 1536 divisors, whose sum is σ = 220425753600. Its totient is φ = 9621504000.

The previous prime is 47756015981. The next prime is 47756016041. The reversal of 47756016000 is 61065774.

47756016000 is a `hidden beast` number, since 47 + 7 + 5 + 6 + 0 + 1 + 600 + 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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 654191964 + ... + 654192036.

It is an arithmetic number, because the mean of its divisors is an integer number (143506350).

Almost surely, 2^47756016000 is an apocalyptic number.

47756016000 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 47756016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110212876800).

47756016000 is an abundant number, since it is smaller than the sum of its proper divisors (172669737600).

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

47756016000 is a wasteful number, since it uses less digits than its factorization.

47756016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 47756016000 in words is "forty-seven billion, seven hundred fifty-six million, sixteen thousand".