213025646736 has 960 divisors, whose sum is σ = 781336657920. Its totient is φ = 54822666240.

The previous prime is 213025646689. The next prime is 213025646773. The reversal of 213025646736 is 637646520312.

213025646736 is a `hidden beast` number, since 2 + 13 + 0 + 2 + 564 + 6 + 73 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 213025646691 and 213025646700.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1554931660 + ... + 1554931796.

It is an arithmetic number, because the mean of its divisors is an integer number (813892352).

Almost surely, 2^213025646736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213025646736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390668328960).

213025646736 is an abundant number, since it is smaller than the sum of its proper divisors (568311011184).

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

213025646736 is a wasteful number, since it uses less digits than its factorization.

213025646736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 213025646736 in words is "two hundred thirteen billion, twenty-five million, six hundred forty-six thousand, seven hundred thirty-six".