70945480448640 has 1536 divisors, whose sum is σ = 292996694016000. Its totient is φ = 15477633515520.

The previous prime is 70945480448627. The next prime is 70945480448677. The reversal of 70945480448640 is 4684408454907.

70945480448640 is a `hidden beast` number, since 7 + 0 + 9 + 4 + 54 + 80 + 448 + 64 + 0 = 666.

It is a super-3 number, since 3×70945480448640³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 79983630277 + ... + 79983631163.

It is an arithmetic number, because the mean of its divisors is an integer number (190753056000).

Almost surely, 2^{70945480448640} is an apocalyptic number.

70945480448640 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 70945480448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146498347008000).

70945480448640 is an abundant number, since it is smaller than the sum of its proper divisors (222051213567360).

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

70945480448640 is a wasteful number, since it uses less digits than its factorization.

70945480448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 70945480448640 in words is "seventy trillion, nine hundred forty-five billion, four hundred eighty million, four hundred forty-eight thousand, six hundred forty".