70072419840 has 320 divisors, whose sum is σ = 233907886080. Its totient is φ = 17874616320.

The previous prime is 70072419839. The next prime is 70072419883. The reversal of 70072419840 is 4891427007.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 70072419792 and 70072419801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21187467 + ... + 21190773.

It is an arithmetic number, because the mean of its divisors is an integer number (730962144).

Almost surely, 2^70072419840 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 70072419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116953943040).

70072419840 is an abundant number, since it is smaller than the sum of its proper divisors (163835466240).

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

70072419840 is a wasteful number, since it uses less digits than its factorization.

70072419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 70072419840 in words is "seventy billion, seventy-two million, four hundred nineteen thousand, eight hundred forty".