70668579600 has 720 divisors, whose sum is σ = 268649472000. Its totient is φ = 17813260800.

The previous prime is 70668579589. The next prime is 70668579629. The reversal of 70668579600 is 697586607.

It is a happy number.

70668579600 is a `hidden beast` number, since 7 + 0 + 6 + 6 + 8 + 579 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 141620151 + ... + 141620649.

Almost surely, 2^70668579600 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 70668579600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134324736000).

70668579600 is an abundant number, since it is smaller than the sum of its proper divisors (197980892400).

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

70668579600 is a wasteful number, since it uses less digits than its factorization.

70668579600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 70668579600 in words is "seventy billion, six hundred sixty-eight million, five hundred seventy-nine thousand, six hundred".