701726213664 has 216 divisors, whose sum is σ = 2377955273148. Its totient is φ = 195602964480.

The previous prime is 701726213651. The next prime is 701726213677. The reversal of 701726213664 is 466312627107.

701726213664 is a `hidden beast` number, since 7 + 0 + 17 + 2 + 621 + 3 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (701726213651) and next prime (701726213677).

It can be written as a sum of positive squares in 2 ways, for example, as 700669443600 + 1056770064 = 837060^2 + 32508^2 .

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 35 ways as a sum of consecutive naturals, for example, 27817 + ... + 1185000.

Almost surely, 2^701726213664 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 701726213664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188977636574).

701726213664 is an abundant number, since it is smaller than the sum of its proper divisors (1676229059484).

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

701726213664 is a wasteful number, since it uses less digits than its factorization.

701726213664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212888 (or 1212870 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 701726213664 in words is "seven hundred one billion, seven hundred twenty-six million, two hundred thirteen thousand, six hundred sixty-four".