724577642104064 has 72 divisors (see below), whose sum is σ = 1652952161813568. Its totient is φ = 310531506278400.

The previous prime is 724577642104031. The next prime is 724577642104079. The reversal of 724577642104064 is 460401246775427.

It is a junction number, because it is equal to n+sod(n) for n = 724577642103994 and 724577642104012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342052964 + ... + 344164764.

Almost surely, 2^{724577642104064} is an apocalyptic number.

It is an amenable number.

724577642104064 is an abundant number, since it is smaller than the sum of its proper divisors (928374519709504).

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

724577642104064 is a wasteful number, since it uses less digits than its factorization.

724577642104064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303291 (or 2303277 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 59.

The spelling of 724577642104064 in words is "seven hundred twenty-four trillion, five hundred seventy-seven billion, six hundred forty-two million, one hundred four thousand, sixty-four".