718965828000 has 576 divisors, whose sum is σ = 3044329142400. Its totient is φ = 164333836800.

The previous prime is 718965827911. The next prime is 718965828011. The reversal of 718965828000 is 828569817.

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 95 ways as a sum of consecutive naturals, for example, 5224071 + ... + 5359929.

It is an arithmetic number, because the mean of its divisors is an integer number (5285293650).

Almost surely, 2^718965828000 is an apocalyptic number.

718965828000 is a gapful number since it is divisible by the number (70) 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 718965828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522164571200).

718965828000 is an abundant number, since it is smaller than the sum of its proper divisors (2325363314400).

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

718965828000 is a wasteful number, since it uses less digits than its factorization.

718965828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135907 (or 135876 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 718965828000 in words is "seven hundred eighteen billion, nine hundred sixty-five million, eight hundred twenty-eight thousand".