701041495680 has 960 divisors, whose sum is σ = 2700112904280. Its totient is φ = 173266698240.

The previous prime is 701041495673. The next prime is 701041495681. The reversal of 701041495680 is 86594140107.

701041495680 is a `hidden beast` number, since 7 + 0 + 1 + 0 + 41 + 49 + 568 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 419997317184 + 281044178496 = 648072^2 + 530136^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (701041495681) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1093668160 + ... + 1093668800.

Almost surely, 2^701041495680 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 701041495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350056452140).

701041495680 is an abundant number, since it is smaller than the sum of its proper divisors (1999071408600).

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

701041495680 is a wasteful number, since it uses less digits than its factorization.

701041495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 701041495680 in words is "seven hundred one billion, forty-one million, four hundred ninety-five thousand, six hundred eighty".