213798062736 has 400 divisors, whose sum is σ = 653868618480. Its totient is φ = 67370434560.

The previous prime is 213798062713. The next prime is 213798062747. The reversal of 213798062736 is 637260897312.

213798062736 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 9 + 8 + 0 + 627 + 3 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 69139547136 + 144658515600 = 262944^2 + 380340^2 .

It is a super-2 number, since 2×213798062736² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 250642086 + ... + 250642938.

Almost surely, 2^213798062736 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 213798062736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326934309240).

213798062736 is an abundant number, since it is smaller than the sum of its proper divisors (440070555744).

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

213798062736 is a wasteful number, since it uses less digits than its factorization.

213798062736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 213798062736 in words is "two hundred thirteen billion, seven hundred ninety-eight million, sixty-two thousand, seven hundred thirty-six".