704067492960 has 1440 divisors, whose sum is σ = 2955736798560. Its totient is φ = 151613669376.

The previous prime is 704067492959. The next prime is 704067492971. The reversal of 704067492960 is 69294760407.

It is a happy number.

704067492960 is a `hidden beast` number, since 7 + 0 + 4 + 0 + 67 + 492 + 96 + 0 = 666.

704067492960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×704067492960² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 704067492897 and 704067492906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13284292294 + ... + 13284292346.

It is an arithmetic number, because the mean of its divisors is an integer number (2052594999).

Almost surely, 2^704067492960 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 704067492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477868399280).

704067492960 is an abundant number, since it is smaller than the sum of its proper divisors (2251669305600).

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

704067492960 is a wasteful number, since it uses less digits than its factorization.

704067492960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 704067492960 in words is "seven hundred four billion, sixty-seven million, four hundred ninety-two thousand, nine hundred sixty".