68377271040 has 720 divisors, whose sum is σ = 266712223008. Its totient is φ = 16625958912.

The previous prime is 68377271033. The next prime is 68377271063. The reversal of 68377271040 is 4017277386.

68377271040 is a `hidden beast` number, since 6 + 8 + 377 + 271 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 130740219 + ... + 130740741.

Almost surely, 2^68377271040 is an apocalyptic number.

68377271040 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 68377271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133356111504).

68377271040 is an abundant number, since it is smaller than the sum of its proper divisors (198334951968).

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

68377271040 is a wasteful number, since it uses less digits than its factorization.

68377271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 68377271040 in words is "sixty-eight billion, three hundred seventy-seven million, two hundred seventy-one thousand, forty".