70309825600 has 189 divisors, whose sum is σ = 201464750613. Its totient is φ = 24080770560.

The previous prime is 70309825567. The next prime is 70309825601. The reversal of 70309825600 is 652890307.

The square root of 70309825600 is 265160.

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

It can be written as a sum of positive squares in only one way, i.e., 25311537216 + 44998288384 = 159096^2 + 212128^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (70309825601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 74244327 + ... + 74245273.

Almost surely, 2^70309825600 is an apocalyptic number.

70309825600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

70309825600 is the 265160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70309825600

70309825600 is an abundant number, since it is smaller than the sum of its proper divisors (131154925013).

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

70309825600 is an frugal number, since it uses more digits than its factorization.

70309825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 70309825600 in words is "seventy billion, three hundred nine million, eight hundred twenty-five thousand, six hundred".