70841730086400 has 2880 divisors, whose sum is σ = 300865503375360. Its totient is φ = 14559687475200.

The previous prime is 70841730086359. The next prime is 70841730086497. The reversal of 70841730086400 is 468003714807.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 70841730086400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 275648755072 + ... + 275648755328.

It is an arithmetic number, because the mean of its divisors is an integer number (104467188672).

Almost surely, 2^{70841730086400} is an apocalyptic number.

70841730086400 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 70841730086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150432751687680).

70841730086400 is an abundant number, since it is smaller than the sum of its proper divisors (230023773288960).

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

70841730086400 is a wasteful number, since it uses less digits than its factorization.

70841730086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 70841730086400 in words is "seventy trillion, eight hundred forty-one billion, seven hundred thirty million, eighty-six thousand, four hundred".