68263894056960 has 1560 divisors, whose sum is σ = 285872018686650. Its totient is φ = 15603175784448.

The previous prime is 68263894056937. The next prime is 68263894056983. The reversal of 68263894056960 is 6965049836286.

68263894056960 is a `hidden beast` number, since 6 + 8 + 26 + 3 + 89 + 405 + 69 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (68263894056937) and next prime (68263894056983).

It can be written as a sum of positive squares in only one way, i.e., 61437504651264 + 6826389405696 = 7838208^2 + 2612736^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 77 ways as a sum of consecutive naturals, for example, 9751984865277 + ... + 9751984865283.

Almost surely, 2^{68263894056960} is an apocalyptic number.

68263894056960 is a gapful number since it is divisible by the number (60) 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 68263894056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142936009343325).

68263894056960 is an abundant number, since it is smaller than the sum of its proper divisors (217608124629690).

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

68263894056960 is an frugal number, since it uses more digits than its factorization.

68263894056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 68263894056960 in words is "sixty-eight trillion, two hundred sixty-three billion, eight hundred ninety-four million, fifty-six thousand, nine hundred sixty".