71328733136640 has 1296 divisors, whose sum is σ = 291966456862080. Its totient is φ = 16028125102080.

The previous prime is 71328733136587. The next prime is 71328733136657. The reversal of 71328733136640 is 4663133782317.

71328733136640 is a `hidden beast` number, since 7 + 1 + 3 + 287 + 3 + 313 + 6 + 6 + 40 = 666.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 10747131402 + ... + 10747138038.

Almost surely, 2^{71328733136640} is an apocalyptic number.

71328733136640 is a gapful number since it is divisible by the number (70) 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 71328733136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145983228431040).

71328733136640 is an abundant number, since it is smaller than the sum of its proper divisors (220637723725440).

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

71328733136640 is a wasteful number, since it uses less digits than its factorization.

71328733136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6998 (or 6974 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 71328733136640 in words is "seventy-one trillion, three hundred twenty-eight billion, seven hundred thirty-three million, one hundred thirty-six thousand, six hundred forty".