264116256768 has 720 divisors, whose sum is σ = 975166890880. Its totient is φ = 69657034752.

The previous prime is 264116256763. The next prime is 264116256773. The reversal of 264116256768 is 867652611462.

264116256768 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 1 + 625 + 6 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (264116256763) and next prime (264116256773).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5806080) is a multiple of the sum of its prime factors (81).

It is not an unprimeable number, because it can be changed into a prime (264116256763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20316635130 + ... + 20316635142.

Almost surely, 2^264116256768 is an apocalyptic number.

264116256768 is a gapful number since it is divisible by the number (28) 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 264116256768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487583445440).

264116256768 is an abundant number, since it is smaller than the sum of its proper divisors (711050634112).

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

264116256768 is an frugal number, since it uses more digits than its factorization.

264116256768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 25 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 264116256768 in words is "two hundred sixty-four billion, one hundred sixteen million, two hundred fifty-six thousand, seven hundred sixty-eight".