724713611401664 has 112 divisors (see below), whose sum is σ = 1559917210400640. Its totient is φ = 332706472919040.

The previous prime is 724713611401621. The next prime is 724713611401669. The reversal of 724713611401664 is 466104116317427.

It is a super-6 number, since 6×724713611401664⁶ (a number of 90 digits) contains 666666 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724713611401669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886800089 + ... + 887616935.

It is an arithmetic number, because the mean of its divisors is an integer number (13927832235720).

Almost surely, 2^{724713611401664} 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 724713611401664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779958605200320).

724713611401664 is an abundant number, since it is smaller than the sum of its proper divisors (835203598998976).

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

724713611401664 is a wasteful number, since it uses less digits than its factorization.

724713611401664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836806 (or 836796 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 53.

The spelling of 724713611401664 in words is "seven hundred twenty-four trillion, seven hundred thirteen billion, six hundred eleven million, four hundred one thousand, six hundred sixty-four".