47064576000 has 416 divisors, whose sum is σ = 168730406208. Its totient is φ = 11580211200.

The previous prime is 47064575927. The next prime is 47064576019. The reversal of 47064576000 is 67546074.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 47064576000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19966822 + ... + 19969178.

It is an arithmetic number, because the mean of its divisors is an integer number (405601938).

Almost surely, 2^47064576000 is an apocalyptic number.

47064576000 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 47064576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84365203104).

47064576000 is an abundant number, since it is smaller than the sum of its proper divisors (121665830208).

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

47064576000 is a wasteful number, since it uses less digits than its factorization.

47064576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

It can be divided in two parts, 470645 and 76000, that added together give a palindrome (546645).

The spelling of 47064576000 in words is "forty-seven billion, sixty-four million, five hundred seventy-six thousand".