70668064868352 has 1536 divisors, whose sum is σ = 238438287360000. Its totient is φ = 18159104950272.

The previous prime is 70668064868329. The next prime is 70668064868377. The reversal of 70668064868352 is 25386846086607.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 303296415628 + ... + 303296415860.

It is an arithmetic number, because the mean of its divisors is an integer number (155233260000).

Almost surely, 2^{70668064868352} 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 70668064868352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119219143680000).

70668064868352 is an abundant number, since it is smaller than the sum of its proper divisors (167770222491648).

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

70668064868352 is a wasteful number, since it uses less digits than its factorization.

70668064868352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 69.

The spelling of 70668064868352 in words is "seventy trillion, six hundred sixty-eight billion, sixty-four million, eight hundred sixty-eight thousand, three hundred fifty-two".