70248192000 has 768 divisors, whose sum is σ = 272290636800. Its totient is φ = 15748300800.

The previous prime is 70248191987. The next prime is 70248192023. The reversal of 70248192000 is 29184207.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392447911 + ... + 392448089.

It is an arithmetic number, because the mean of its divisors is an integer number (354545100).

Almost surely, 2^70248192000 is an apocalyptic number.

70248192000 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 70248192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136145318400).

70248192000 is an abundant number, since it is smaller than the sum of its proper divisors (202042444800).

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

70248192000 is a wasteful number, since it uses less digits than its factorization.

70248192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 70248192000 in words is "seventy billion, two hundred forty-eight million, one hundred ninety-two thousand".