68177387520 has 1344 divisors, whose sum is σ = 291477947904. Its totient is φ = 14533263360.

The previous prime is 68177387501. The next prime is 68177387527. The reversal of 68177387520 is 2578377186.

68177387520 is a `hidden beast` number, since 6 + 81 + 7 + 7 + 38 + 7 + 520 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68177387527) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1585520619 + ... + 1585520661.

Almost surely, 2^68177387520 is an apocalyptic number.

68177387520 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 68177387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145738973952).

68177387520 is an abundant number, since it is smaller than the sum of its proper divisors (223300560384).

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

68177387520 is a wasteful number, since it uses less digits than its factorization.

68177387520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 68177387520 in words is "sixty-eight billion, one hundred seventy-seven million, three hundred eighty-seven thousand, five hundred twenty".