47364128000 has 288 divisors, whose sum is σ = 135453427200. Its totient is φ = 16166092800.

The previous prime is 47364127991. The next prime is 47364128003. The reversal of 47364128000 is 82146374.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47364128003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79071701 + ... + 79072299.

It is an arithmetic number, because the mean of its divisors is an integer number (470324400).

Almost surely, 2^47364128000 is an apocalyptic number.

47364128000 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 47364128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67726713600).

47364128000 is an abundant number, since it is smaller than the sum of its proper divisors (88089299200).

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

47364128000 is an equidigital number, since it uses as much as digits as its factorization.

47364128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 47364128000 in words is "forty-seven billion, three hundred sixty-four million, one hundred twenty-eight thousand".