70849036800 has 960 divisors, whose sum is σ = 284960332800. Its totient is φ = 17163878400.

The previous prime is 70849036793. The next prime is 70849036871. The reversal of 70849036800 is 863094807.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182131006 + ... + 182131394.

It is an arithmetic number, because the mean of its divisors is an integer number (296833680).

Almost surely, 2^70849036800 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 70849036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142480166400).

70849036800 is an abundant number, since it is smaller than the sum of its proper divisors (214111296000).

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

70849036800 is a wasteful number, since it uses less digits than its factorization.

70849036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 70849036800 in words is "seventy billion, eight hundred forty-nine million, thirty-six thousand, eight hundred".