70113664800 has 432 divisors, whose sum is σ = 260783621280. Its totient is φ = 18377072640.

The previous prime is 70113664769. The next prime is 70113664823. The reversal of 70113664800 is 846631107.

70113664800 is a `hidden beast` number, since 7 + 0 + 1 + 1 + 3 + 6 + 648 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11466544 + ... + 11472656.

It is an arithmetic number, because the mean of its divisors is an integer number (603665790).

Almost surely, 2^70113664800 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 70113664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130391810640).

70113664800 is an abundant number, since it is smaller than the sum of its proper divisors (190669956480).

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

70113664800 is a wasteful number, since it uses less digits than its factorization.

70113664800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6207 (or 6182 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 70113664800 in words is "seventy billion, one hundred thirteen million, six hundred sixty-four thousand, eight hundred".