10724608664 has 64 divisors (see below), whose sum is σ = 25109395200. Its totient is φ = 4171939200.

The previous prime is 10724608663. The next prime is 10724608667. The reversal of 10724608664 is 46680642701.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10724608663) 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, 394007 + ... + 420345.

It is an arithmetic number, because the mean of its divisors is an integer number (392334300).

Almost surely, 2^10724608664 is an apocalyptic number.

10724608664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10724608664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12554697600).

10724608664 is an abundant number, since it is smaller than the sum of its proper divisors (14384786536).

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

10724608664 is a wasteful number, since it uses less digits than its factorization.

10724608664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27024 (or 27020 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 10724608664 in words is "ten billion, seven hundred twenty-four million, six hundred eight thousand, six hundred sixty-four".