71362814640 has 320 divisors, whose sum is σ = 247242258816. Its totient is φ = 16912613376.

The previous prime is 71362814599. The next prime is 71362814641. The reversal of 71362814640 is 4641826317.

It is a junction number, because it is equal to n+sod(n) for n = 71362814592 and 71362814601.

It is not an unprimeable number, because it can be changed into a prime (71362814641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11194494 + ... + 11200866.

Almost surely, 2^71362814640 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 71362814640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123621129408).

71362814640 is an abundant number, since it is smaller than the sum of its proper divisors (175879444176).

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

71362814640 is a wasteful number, since it uses less digits than its factorization.

71362814640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6536 (or 6530 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 71362814640 in words is "seventy-one billion, three hundred sixty-two million, eight hundred fourteen thousand, six hundred forty".