268039740611664 has 640 divisors, whose sum is σ = 943067149839360. Its totient is φ = 72034564792320.

The previous prime is 268039740611663. The next prime is 268039740611707. The reversal of 268039740611664 is 466116047930862.

268039740611664 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 3 + 9 + 7 + 4 + 0 + 611 + 6 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268039740611663) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7249589082 + ... + 7249626054.

It is an arithmetic number, because the mean of its divisors is an integer number (1473542421624).

Almost surely, 2^{268039740611664} is an apocalyptic number.

268039740611664 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 268039740611664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471533574919680).

268039740611664 is an abundant number, since it is smaller than the sum of its proper divisors (675027409227696).

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

268039740611664 is a wasteful number, since it uses less digits than its factorization.

268039740611664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38767 (or 38743 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 268039740611664 in words is "two hundred sixty-eight trillion, thirty-nine billion, seven hundred forty million, six hundred eleven thousand, six hundred sixty-four".