70933490400 has 576 divisors, whose sum is σ = 259183411200. Its totient is φ = 16764549120.

The previous prime is 70933490399. The next prime is 70933490413. The reversal of 70933490400 is 409433907.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 49292881 + ... + 49294319.

It is an arithmetic number, because the mean of its divisors is an integer number (449971200).

Almost surely, 2^70933490400 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 70933490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129591705600).

70933490400 is an abundant number, since it is smaller than the sum of its proper divisors (188249920800).

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

70933490400 is a wasteful number, since it uses less digits than its factorization.

70933490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The spelling of 70933490400 in words is "seventy billion, nine hundred thirty-three million, four hundred ninety thousand, four hundred".