1064372734601 has 24 divisors (see below), whose sum is σ = 1183472415720. Its totient is φ = 956418693120.

The previous prime is 1064372734567. The next prime is 1064372734613.

It is a happy number.

1064372734601 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 195385216576 + 868987518025 = 442024^2 + 932195^2 .

It is not a de Polignac number, because 1064372734601 - 2²⁶ = 1064305625737 is a prime.

It is a super-2 number, since 2×1064372734601² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1064372734651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35662781 + ... + 35692613.

It is an arithmetic number, because the mean of its divisors is an integer number (49311350655).

Almost surely, 2^{1064372734601} is an apocalyptic number.

1064372734601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1064372734601 is a deficient number, since it is larger than the sum of its proper divisors (119099681119).

1064372734601 is a wasteful number, since it uses less digits than its factorization.

1064372734601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33257 (or 33246 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 44.

The spelling of 1064372734601 in words is "one trillion, sixty-four billion, three hundred seventy-two million, seven hundred thirty-four thousand, six hundred one".