70198732800 has 648 divisors, whose sum is σ = 292546021950. Its totient is φ = 16040263680.

The previous prime is 70198732783. The next prime is 70198732819. The reversal of 70198732800 is 823789107.

It can be written as a sum of positive squares in 3 ways, for example, as 40372061184 + 29826671616 = 200928^2 + 172704^2 .

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 (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 22577646 + ... + 22580754.

Almost surely, 2^70198732800 is an apocalyptic number.

70198732800 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 70198732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146273010975).

70198732800 is an abundant number, since it is smaller than the sum of its proper divisors (222347289150).

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

70198732800 is a wasteful number, since it uses less digits than its factorization.

70198732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 70198732800 in words is "seventy billion, one hundred ninety-eight million, seven hundred thirty-two thousand, eight hundred".