10672542864 has 45 divisors (see below), whose sum is σ = 29871766873. Its totient is φ = 3557101056.

The previous prime is 10672542847. The next prime is 10672542871. The reversal of 10672542864 is 46824527601.

The square root of 10672542864 is 103308.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2529285264 + 8143257600 = 50292^2 + 90240^2 .

It is a super-2 number, since 2×10672542864² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1235392 + ... + 1244000.

Almost surely, 2^10672542864 is an apocalyptic number.

10672542864 is the 103308-th square number.

It is an amenable number.

10672542864 is an abundant number, since it is smaller than the sum of its proper divisors (19199224009).

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

10672542864 is an frugal number, since it uses more digits than its factorization.

10672542864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17232 (or 8614 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

It can be divided in two parts, 10672 and 542864, that added together give a square (553536 = 744²).

The spelling of 10672542864 in words is "ten billion, six hundred seventy-two million, five hundred forty-two thousand, eight hundred sixty-four".