68271971040 has 1440 divisors, whose sum is σ = 307214462016. Its totient is φ = 13974405120.

The previous prime is 68271971021. The next prime is 68271971077. The reversal of 68271971040 is 4017917286.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×68271971040² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 935232444 + ... + 935232516.

Almost surely, 2^68271971040 is an apocalyptic number.

68271971040 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 68271971040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153607231008).

68271971040 is an abundant number, since it is smaller than the sum of its proper divisors (238942490976).

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

68271971040 is a wasteful number, since it uses less digits than its factorization.

68271971040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 68271971040 in words is "sixty-eight billion, two hundred seventy-one million, nine hundred seventy-one thousand, forty".