70934227200 has 648 divisors, whose sum is σ = 278572982688. Its totient is φ = 17796464640.

The previous prime is 70934227171. The next prime is 70934227207. The reversal of 70934227200 is 272243907.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×70934227200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (70934227207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26437059 + ... + 26439741.

Almost surely, 2^70934227200 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 70934227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139286491344).

70934227200 is an abundant number, since it is smaller than the sum of its proper divisors (207638755488).

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

70934227200 is a wasteful number, since it uses less digits than its factorization.

70934227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 70934227200 in words is "seventy billion, nine hundred thirty-four million, two hundred twenty-seven thousand, two hundred".