70719889968 has 640 divisors, whose sum is σ = 266794035200. Its totient is φ = 17414258688.

The previous prime is 70719889939. The next prime is 70719889969. The reversal of 70719889968 is 86998891707.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 70719889896 and 70719889905.

It is not an unprimeable number, because it can be changed into a prime (70719889969) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54525096 + ... + 54526392.

It is an arithmetic number, because the mean of its divisors is an integer number (416865680).

Almost surely, 2^70719889968 is an apocalyptic number.

70719889968 is a gapful number since it is divisible by the number (78) 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 70719889968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133397017600).

70719889968 is an abundant number, since it is smaller than the sum of its proper divisors (196074145232).

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

70719889968 is a wasteful number, since it uses less digits than its factorization.

70719889968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 72.

The spelling of 70719889968 in words is "seventy billion, seven hundred nineteen million, eight hundred eighty-nine thousand, nine hundred sixty-eight".