70743879360 has 1008 divisors, whose sum is σ = 319337192160. Its totient is φ = 14689382400.

The previous prime is 70743879359. The next prime is 70743879383. The reversal of 70743879360 is 6397834707.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 70743879297 and 70743879306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51225870 + ... + 51227250.

It is an arithmetic number, because the mean of its divisors is an integer number (316802770).

Almost surely, 2^70743879360 is an apocalyptic number.

70743879360 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 70743879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159668596080).

70743879360 is an abundant number, since it is smaller than the sum of its proper divisors (248593312800).

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

70743879360 is a wasteful number, since it uses less digits than its factorization.

70743879360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 70743879360 in words is "seventy billion, seven hundred forty-three million, eight hundred seventy-nine thousand, three hundred sixty".