1067536457672 has 32 divisors (see below), whose sum is σ = 2119563336600. Its totient is φ = 502325182464.

The previous prime is 1067536457671. The next prime is 1067536457761. The reversal of 1067536457672 is 2767546357601.

1067536457672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 987054172036 + 80482285636 = 993506^2 + 283694^2 .

It is a super-2 number, since 2×1067536457672² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1067536457671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1200968 + ... + 1891400.

Almost surely, 2^{1067536457672} is an apocalyptic number.

It is an amenable number.

1067536457672 is a deficient number, since it is larger than the sum of its proper divisors (1052026878928).

1067536457672 is a wasteful number, since it uses less digits than its factorization.

1067536457672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701825 (or 701821 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 59.

The spelling of 1067536457672 in words is "one trillion, sixty-seven billion, five hundred thirty-six million, four hundred fifty-seven thousand, six hundred seventy-two".