47580372000 has 1296 divisors, whose sum is σ = 209489775768. Its totient is φ = 10581580800.

The previous prime is 47580371999. The next prime is 47580372011. The reversal of 47580372000 is 27308574.

47580372000 is a `hidden beast` number, since 4 + 7 + 580 + 3 + 72 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24489746064 + 23090625936 = 156492^2 + 151956^2 .

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1285955982 + ... + 1285956018.

Almost surely, 2^47580372000 is an apocalyptic number.

47580372000 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 47580372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104744887884).

47580372000 is an abundant number, since it is smaller than the sum of its proper divisors (161909403768).

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

47580372000 is an frugal number, since it uses more digits than its factorization.

47580372000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 47580372000 in words is "forty-seven billion, five hundred eighty million, three hundred seventy-two thousand".