709642631964672 has 1440 divisors, whose sum is σ = 2656385702530560. Its totient is φ = 184669812817920.

The previous prime is 709642631964647. The next prime is 709642631964713. The reversal of 709642631964672 is 276469136246907.

709642631964672 is a `hidden beast` number, since 7 + 0 + 9 + 6 + 42 + 6 + 31 + 96 + 467 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 709642631964672.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10403300038 + ... + 10403368250.

It is an arithmetic number, because the mean of its divisors is an integer number (1844712293424).

Almost surely, 2^{709642631964672} is an apocalyptic number.

709642631964672 is a gapful number since it is divisible by the number (72) 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 709642631964672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328192851265280).

709642631964672 is an abundant number, since it is smaller than the sum of its proper divisors (1946743070565888).

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

709642631964672 is a wasteful number, since it uses less digits than its factorization.

709642631964672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68319 (or 68273 counting only the distinct ones).

The product of its (nonzero) digits is 987614208, while the sum is 72.

The spelling of 709642631964672 in words is "seven hundred nine trillion, six hundred forty-two billion, six hundred thirty-one million, nine hundred sixty-four thousand, six hundred seventy-two".