70873088400 has 945 divisors, whose sum is σ = 280866589081. Its totient is φ = 17174384640.

The previous prime is 70873088389. The next prime is 70873088443. The reversal of 70873088400 is 488037807.

The square root of 70873088400 is 266220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 23090625936 + 47782462464 = 151956^2 + 218592^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 2443899586 + ... + 2443899614.

Almost surely, 2^70873088400 is an apocalyptic number.

70873088400 is the 266220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70873088400

70873088400 is an abundant number, since it is smaller than the sum of its proper divisors (209993500681).

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

70873088400 is a wasteful number, since it uses less digits than its factorization.

70873088400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 70873088400 in words is "seventy billion, eight hundred seventy-three million, eighty-eight thousand, four hundred".