70814269440 has 760 divisors, whose sum is σ = 274055300640. Its totient is φ = 17439916032.

The previous prime is 70814269429. The next prime is 70814269441. The reversal of 70814269440 is 4496241807.

70814269440 is a `hidden beast` number, since 7 + 0 + 8 + 142 + 69 + 440 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70814269441) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2441871346 + ... + 2441871374.

Almost surely, 2^70814269440 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 70814269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137027650320).

70814269440 is an abundant number, since it is smaller than the sum of its proper divisors (203241031200).

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

70814269440 is an frugal number, since it uses more digits than its factorization.

70814269440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 70814269440 in words is "seventy billion, eight hundred fourteen million, two hundred sixty-nine thousand, four hundred forty".