70189168896 has 864 divisors, whose sum is σ = 274896742400. Its totient is φ = 17244057600.

The previous prime is 70189168859. The next prime is 70189168921. The reversal of 70189168896 is 69886198107.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×70189168896² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111234501 + ... + 111235131.

Almost surely, 2^70189168896 is an apocalyptic number.

70189168896 is a gapful number since it is divisible by the number (76) 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 70189168896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137448371200).

70189168896 is an abundant number, since it is smaller than the sum of its proper divisors (204707573504).

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

70189168896 is a wasteful number, since it uses less digits than its factorization.

70189168896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 70189168896 in words is "seventy billion, one hundred eighty-nine million, one hundred sixty-eight thousand, eight hundred ninety-six".