70585720816 has 160 divisors (see below), whose sum is σ = 154150133760. Its totient is φ = 31091558400.

The previous prime is 70585720811. The next prime is 70585720873. The reversal of 70585720816 is 61802758507.

It is a super-2 number, since 2×70585720816² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 70585720816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70585720811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251194596 + ... + 251194876.

It is an arithmetic number, because the mean of its divisors is an integer number (963438336).

Almost surely, 2^70585720816 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 70585720816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77075066880).

70585720816 is an abundant number, since it is smaller than the sum of its proper divisors (83564412944).

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

70585720816 is a wasteful number, since it uses less digits than its factorization.

70585720816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 49.

The spelling of 70585720816 in words is "seventy billion, five hundred eighty-five million, seven hundred twenty thousand, eight hundred sixteen".