1067787264640 has 32 divisors (see below), whose sum is σ = 2552678931060. Its totient is φ = 427114905600.

The previous prime is 1067787264569. The next prime is 1067787264647. The reversal of 1067787264640 is 464627877601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1039372094016 + 28415170624 = 1019496^2 + 168568^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1067787264640² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1067787264647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 834208161 + ... + 834209440.

Almost surely, 2^{1067787264640} is an apocalyptic number.

1067787264640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1067787264640 is an abundant number, since it is smaller than the sum of its proper divisors (1484891666420).

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

1067787264640 is an equidigital number, since it uses as much as digits as its factorization.

1067787264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668417620 (or 1668417608 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 58.

The spelling of 1067787264640 in words is "one trillion, sixty-seven billion, seven hundred eighty-seven million, two hundred sixty-four thousand, six hundred forty".