70245436800 has 1152 divisors, whose sum is σ = 297948430080. Its totient is φ = 14233190400.

The previous prime is 70245436799. The next prime is 70245436813. The reversal of 70245436800 is 863454207.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 430953519 + ... + 430953681.

It is an arithmetic number, because the mean of its divisors is an integer number (258635790).

Almost surely, 2^70245436800 is an apocalyptic number.

70245436800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70245436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148974215040).

70245436800 is an abundant number, since it is smaller than the sum of its proper divisors (227702993280).

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

70245436800 is a wasteful number, since it uses less digits than its factorization.

70245436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 70245436800 in words is "seventy billion, two hundred forty-five million, four hundred thirty-six thousand, eight hundred".