70945593120 has 960 divisors, whose sum is σ = 272935111680. Its totient is φ = 17318707200.

The previous prime is 70945593107. The next prime is 70945593139. The reversal of 70945593120 is 2139554907.

It is a happy number.

70945593120 is a `hidden beast` number, since 7 + 0 + 9 + 45 + 593 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 971857404 + ... + 971857476.

It is an arithmetic number, because the mean of its divisors is an integer number (284307408).

Almost surely, 2^70945593120 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 70945593120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136467555840).

70945593120 is an abundant number, since it is smaller than the sum of its proper divisors (201989518560).

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

70945593120 is a wasteful number, since it uses less digits than its factorization.

70945593120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 70945593120 in words is "seventy billion, nine hundred forty-five million, five hundred ninety-three thousand, one hundred twenty".