211642762704 has 80 divisors (see below), whose sum is σ = 572021721600. Its totient is φ = 67302119808.

The previous prime is 211642762699. The next prime is 211642762717. The reversal of 211642762704 is 407267246112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165507 + ... + 671325.

It is an arithmetic number, because the mean of its divisors is an integer number (7150271520).

Almost surely, 2^211642762704 is an apocalyptic number.

211642762704 is a gapful number since it is divisible by the number (24) 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 211642762704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286010860800).

211642762704 is an abundant number, since it is smaller than the sum of its proper divisors (360378958896).

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

211642762704 is a wasteful number, since it uses less digits than its factorization.

211642762704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506232 (or 506226 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 211642762704 in words is "two hundred eleven billion, six hundred forty-two million, seven hundred sixty-two thousand, seven hundred four".