213702468840 has 384 divisors, whose sum is σ = 846987897600. Its totient is φ = 45640765440.

The previous prime is 213702468827. The next prime is 213702468841. The reversal of 213702468840 is 48864207312.

It is a happy number.

It is a super-2 number, since 2×213702468840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (213702468841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3464670 + ... + 3525810.

It is an arithmetic number, because the mean of its divisors is an integer number (2205697650).

Almost surely, 2^213702468840 is an apocalyptic number.

213702468840 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 213702468840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423493948800).

213702468840 is an abundant number, since it is smaller than the sum of its proper divisors (633285428760).

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

213702468840 is a wasteful number, since it uses less digits than its factorization.

213702468840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61257 (or 61250 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 213702468840 in words is "two hundred thirteen billion, seven hundred two million, four hundred sixty-eight thousand, eight hundred forty".