47628725760 has 1600 divisors, whose sum is σ = 225304865280. Its totient is φ = 9316270080.

The previous prime is 47628725747. The next prime is 47628725813. The reversal of 47628725760 is 6752782674.

47628725760 is a `hidden beast` number, since 4 + 7 + 62 + 8 + 7 + 2 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 47628725697 and 47628725706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 303367602 + ... + 303367758.

Almost surely, 2^47628725760 is an apocalyptic number.

47628725760 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 47628725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112652432640).

47628725760 is an abundant number, since it is smaller than the sum of its proper divisors (177676139520).

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

47628725760 is a wasteful number, since it uses less digits than its factorization.

47628725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 47628725760 in words is "forty-seven billion, six hundred twenty-eight million, seven hundred twenty-five thousand, seven hundred sixty".