70982336880 has 960 divisors, whose sum is σ = 319749534720. Its totient is φ = 14318954496.

The previous prime is 70982336807. The next prime is 70982336923. The reversal of 70982336880 is 8863328907.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31645039 + ... + 31647281.

It is an arithmetic number, because the mean of its divisors is an integer number (333072432).

Almost surely, 2^70982336880 is an apocalyptic number.

70982336880 is a gapful number since it is divisible by the number (70) 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 70982336880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159874767360).

70982336880 is an abundant number, since it is smaller than the sum of its proper divisors (248767197840).

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

70982336880 is a wasteful number, since it uses less digits than its factorization.

70982336880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 70982336880 in words is "seventy billion, nine hundred eighty-two million, three hundred thirty-six thousand, eight hundred eighty".