70359940800 has 252 divisors, whose sum is σ = 250814333016. Its totient is φ = 18707251200.

The previous prime is 70359940789. The next prime is 70359940811. The reversal of 70359940800 is 804995307.

It is an interprime number because it is at equal distance from previous prime (70359940789) and next prime (70359940811).

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4989760 + ... + 5003840.

Almost surely, 2^70359940800 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 70359940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125407166508).

70359940800 is an abundant number, since it is smaller than the sum of its proper divisors (180454392216).

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

70359940800 is a wasteful number, since it uses less digits than its factorization.

70359940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14456 (or 14438 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 70359940800 in words is "seventy billion, three hundred fifty-nine million, nine hundred forty thousand, eight hundred".