70905364992 has 720 divisors, whose sum is σ = 264550942656. Its totient is φ = 17882726400.

The previous prime is 70905364979. The next prime is 70905365087. The reversal of 70905364992 is 29946350907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 144409867 + ... + 144410357.

Almost surely, 2^70905364992 is an apocalyptic number.

70905364992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70905364992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132275471328).

70905364992 is an abundant number, since it is smaller than the sum of its proper divisors (193645577664).

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

70905364992 is a wasteful number, since it uses less digits than its factorization.

70905364992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 70905364992 in words is "seventy billion, nine hundred five million, three hundred sixty-four thousand, nine hundred ninety-two".