68077148160 has 384 divisors, whose sum is σ = 250326236160. Its totient is φ = 15471869952.

The previous prime is 68077148141. The next prime is 68077148189. The reversal of 68077148160 is 6184177086.

68077148160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42362077 + ... + 42363683.

It is an arithmetic number, because the mean of its divisors is an integer number (651891240).

Almost surely, 2^68077148160 is an apocalyptic number.

68077148160 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 68077148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125163118080).

68077148160 is an abundant number, since it is smaller than the sum of its proper divisors (182249088000).

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

68077148160 is a wasteful number, since it uses less digits than its factorization.

68077148160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 68077148160 in words is "sixty-eight billion, seventy-seven million, one hundred forty-eight thousand, one hundred sixty".