268364814769920 has 576 divisors, whose sum is σ = 948672501396480. Its totient is φ = 64108275302400.

The previous prime is 268364814769901. The next prime is 268364814769939. The reversal of 268364814769920 is 29967418463862.

It is an interprime number because it is at equal distance from previous prime (268364814769901) and next prime (268364814769939).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5989060476 + ... + 5989105284.

It is an arithmetic number, because the mean of its divisors is an integer number (1647000870480).

Almost surely, 2^{268364814769920} is an apocalyptic number.

268364814769920 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 268364814769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474336250698240).

268364814769920 is an abundant number, since it is smaller than the sum of its proper divisors (680307686626560).

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

268364814769920 is a wasteful number, since it uses less digits than its factorization.

268364814769920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46912 (or 46898 counting only the distinct ones).

The product of its (nonzero) digits is 1504935936, while the sum is 75.

The spelling of 268364814769920 in words is "two hundred sixty-eight trillion, three hundred sixty-four billion, eight hundred fourteen million, seven hundred sixty-nine thousand, nine hundred twenty".