701460979968 has 288 divisors, whose sum is σ = 2228453176320. Its totient is φ = 191692431360.

The previous prime is 701460979963. The next prime is 701460979987. The reversal of 701460979968 is 869979064107.

It is a junction number, because it is equal to n+sod(n) for n = 701460979899 and 701460979908.

It is not an unprimeable number, because it can be changed into a prime (701460979963) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11705923 + ... + 11765693.

It is an arithmetic number, because the mean of its divisors is an integer number (7737684640).

Almost surely, 2^701460979968 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 701460979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114226588160).

701460979968 is an abundant number, since it is smaller than the sum of its proper divisors (1526992196352).

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

701460979968 is a wasteful number, since it uses less digits than its factorization.

701460979968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59893 (or 59879 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 66.

The spelling of 701460979968 in words is "seven hundred one billion, four hundred sixty million, nine hundred seventy-nine thousand, nine hundred sixty-eight".