213400661760 has 864 divisors, whose sum is σ = 872400424896. Its totient is φ = 47480832000.

The previous prime is 213400661731. The next prime is 213400661779. The reversal of 213400661760 is 67166004312.

It is a happy number.

213400661760 is a `hidden beast` number, since 2 + 1 + 34 + 0 + 0 + 6 + 617 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 462907930 + ... + 462908390.

It is an arithmetic number, because the mean of its divisors is an integer number (1009722714).

Almost surely, 2^213400661760 is an apocalyptic number.

213400661760 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 213400661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436200212448).

213400661760 is an abundant number, since it is smaller than the sum of its proper divisors (658999763136).

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

213400661760 is a wasteful number, since it uses less digits than its factorization.

213400661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 213400661760 in words is "two hundred thirteen billion, four hundred million, six hundred sixty-one thousand, seven hundred sixty".