215320472640 has 2016 divisors, whose sum is σ = 1007844364800. Its totient is φ = 43455025152.

The previous prime is 215320472629. The next prime is 215320472659. The reversal of 215320472640 is 46274023512.

215320472640 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 2 + 0 + 4 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a junction number, because it is equal to n+sod(n) for n = 215320472595 and 215320472604.

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 287 ways as a sum of consecutive naturals, for example, 9361759669 + ... + 9361759691.

It is an arithmetic number, because the mean of its divisors is an integer number (499922800).

Almost surely, 2^215320472640 is an apocalyptic number.

215320472640 is a gapful number since it is divisible by the number (20) 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 215320472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503922182400).

215320472640 is an abundant number, since it is smaller than the sum of its proper divisors (792523892160).

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

215320472640 is an frugal number, since it uses more digits than its factorization.

215320472640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 215320472640 in words is "two hundred fifteen billion, three hundred twenty million, four hundred seventy-two thousand, six hundred forty".