70971955200 has 864 divisors, whose sum is σ = 270910785600. Its totient is φ = 17726177280.

The previous prime is 70971955199. The next prime is 70971955231. The reversal of 70971955200 is 255917907.

70971955200 is a `hidden beast` number, since 7 + 0 + 97 + 1 + 9 + 552 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 628070344 + ... + 628070456.

It is an arithmetic number, because the mean of its divisors is an integer number (313554150).

Almost surely, 2^70971955200 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 70971955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135455392800).

70971955200 is an abundant number, since it is smaller than the sum of its proper divisors (199938830400).

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

70971955200 is a wasteful number, since it uses less digits than its factorization.

70971955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The spelling of 70971955200 in words is "seventy billion, nine hundred seventy-one million, nine hundred fifty-five thousand, two hundred".