70242426072 has 512 divisors, whose sum is σ = 262512230400. Its totient is φ = 16870809600.

The previous prime is 70242426071. The next prime is 70242426091. The reversal of 70242426072 is 27062424207.

70242426072 is a `hidden beast` number, since 7 + 0 + 2 + 4 + 2 + 42 + 607 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70242426071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10355322 + ... + 10362102.

It is an arithmetic number, because the mean of its divisors is an integer number (512719200).

Almost surely, 2^70242426072 is an apocalyptic number.

70242426072 is a gapful number since it is divisible by the number (72) 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 70242426072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131256115200).

70242426072 is an abundant number, since it is smaller than the sum of its proper divisors (192269804328).

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

70242426072 is a wasteful number, since it uses less digits than its factorization.

70242426072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6864 (or 6854 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 70242426072 in words is "seventy billion, two hundred forty-two million, four hundred twenty-six thousand, seventy-two".