70116067840 has 960 divisors, whose sum is σ = 231975152640. Its totient is φ = 20065812480.

The previous prime is 70116067817. The next prime is 70116067849. The reversal of 70116067840 is 4876061107.

It is a super-3 number, since 3×70116067840³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 70116067793 and 70116067802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70116067849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 960494044 + ... + 960494116.

It is an arithmetic number, because the mean of its divisors is an integer number (241640784).

Almost surely, 2^70116067840 is an apocalyptic number.

70116067840 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 70116067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115987576320).

70116067840 is an abundant number, since it is smaller than the sum of its proper divisors (161859084800).

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

70116067840 is a wasteful number, since it uses less digits than its factorization.

70116067840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 70116067840 in words is "seventy billion, one hundred sixteen million, sixty-seven thousand, eight hundred forty".