70350366240 has 1152 divisors, whose sum is σ = 317170909440. Its totient is φ = 14579066880.

The previous prime is 70350366239. The next prime is 70350366299. The reversal of 70350366240 is 4266305307.

70350366240 is a `hidden beast` number, since 7 + 0 + 3 + 50 + 366 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 70350366195 and 70350366204.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 188606694 + ... + 188607066.

It is an arithmetic number, because the mean of its divisors is an integer number (275321970).

Almost surely, 2^70350366240 is an apocalyptic number.

70350366240 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 70350366240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158585454720).

70350366240 is an abundant number, since it is smaller than the sum of its proper divisors (246820543200).

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

70350366240 is a wasteful number, since it uses less digits than its factorization.

70350366240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 70350366240 in words is "seventy billion, three hundred fifty million, three hundred sixty-six thousand, two hundred forty".