213606032640 has 1152 divisors, whose sum is σ = 932004347904. Its totient is φ = 40255488000.

The previous prime is 213606032639. The next prime is 213606032677. The reversal of 213606032640 is 46230606312.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 234473785 + ... + 234474695.

It is an arithmetic number, because the mean of its divisors is an integer number (809031552).

Almost surely, 2^213606032640 is an apocalyptic number.

213606032640 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 213606032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466002173952).

213606032640 is an abundant number, since it is smaller than the sum of its proper divisors (718398315264).

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

213606032640 is a wasteful number, since it uses less digits than its factorization.

213606032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 213606032640 its reverse (46230606312), we get a palindrome (259836638952).

The spelling of 213606032640 in words is "two hundred thirteen billion, six hundred six million, thirty-two thousand, six hundred forty".