71533376640 has 1024 divisors, whose sum is σ = 301397760000. Its totient is φ = 15838986240.

The previous prime is 71533376633. The next prime is 71533376647. The reversal of 71533376640 is 4667333517.

It is a happy number.

71533376640 is a `hidden beast` number, since 7 + 1 + 533 + 3 + 76 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (71533376633) and next prime (71533376647).

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

It is not an unprimeable number, because it can be changed into a prime (71533376647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104733739 + ... + 104734421.

It is an arithmetic number, because the mean of its divisors is an integer number (294333750).

Almost surely, 2^71533376640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71533376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150698880000).

71533376640 is an abundant number, since it is smaller than the sum of its proper divisors (229864383360).

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

71533376640 is a wasteful number, since it uses less digits than its factorization.

71533376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 71533376640 in words is "seventy-one billion, five hundred thirty-three million, three hundred seventy-six thousand, six hundred forty".