210713679094464 has 896 divisors, whose sum is σ = 776322997739520. Its totient is φ = 54564238282752.

The previous prime is 210713679094427. The next prime is 210713679094481. The reversal of 210713679094464 is 464490976317012.

210713679094464 is a `hidden beast` number, since 2 + 1 + 0 + 7 + 13 + 6 + 79 + 0 + 94 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 3234401539 + ... + 3234466685.

It is an arithmetic number, because the mean of its divisors is an integer number (866431917120).

Almost surely, 2^{210713679094464} is an apocalyptic number.

210713679094464 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 210713679094464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388161498869760).

210713679094464 is an abundant number, since it is smaller than the sum of its proper divisors (565609318645056).

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

210713679094464 is a wasteful number, since it uses less digits than its factorization.

210713679094464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65562 (or 65546 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 210713679094464 in words is "two hundred ten trillion, seven hundred thirteen billion, six hundred seventy-nine million, ninety-four thousand, four hundred sixty-four".