68797071360000 has 1125 divisors, whose sum is σ = 257893350422851. Its totient is φ = 18345885696000.

The previous prime is 68797071359971. The next prime is 68797071360049. The reversal of 68797071360000 is 6317079786.

The square root of 68797071360000 is 8294400.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (6!)⁴ ⋅ (2!)⁸.

It can be written as a sum of positive squares in 2 ways, for example, as 5393690394624 + 63403380965376 = 2322432^2 + 7962624^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13759414271998 + ... + 13759414272002.

Almost surely, 2^{68797071360000} is an apocalyptic number.

68797071360000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

68797071360000 is the 8294400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68797071360000

68797071360000 is an abundant number, since it is smaller than the sum of its proper divisors (189096279062851).

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

68797071360000 is an frugal number, since it uses more digits than its factorization.

68797071360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 68797071360000 in words is "sixty-eight trillion, seven hundred ninety-seven billion, seventy-one million, three hundred sixty thousand".