70824243456 has 432 divisors, whose sum is σ = 226035036864. Its totient is φ = 22040543232.

The previous prime is 70824243449. The next prime is 70824243563. The reversal of 70824243456 is 65434242807.

It is a happy number.

70824243456 is a `hidden beast` number, since 70 + 82 + 424 + 34 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×70824243456² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204104275 + ... + 204104621.

It is an arithmetic number, because the mean of its divisors is an integer number (523229252).

Almost surely, 2^70824243456 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 70824243456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113017518432).

70824243456 is an abundant number, since it is smaller than the sum of its proper divisors (155210793408).

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

70824243456 is a wasteful number, since it uses less digits than its factorization.

70824243456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 70824243456 in words is "seventy billion, eight hundred twenty-four million, two hundred forty-three thousand, four hundred fifty-six".