1067331967632 has 1280 divisors, whose sum is σ = 3917006438400. Its totient is φ = 275121100800.

The previous prime is 1067331967627. The next prime is 1067331967679. The reversal of 1067331967632 is 2367691337601.

It is a happy number.

It is a super-2 number, since 2×1067331967632² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8147572207 + ... + 8147572337.

It is an arithmetic number, because the mean of its divisors is an integer number (3060161280).

Almost surely, 2^{1067331967632} is an apocalyptic number.

1067331967632 is a gapful number since it is divisible by the number (12) 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 1067331967632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958503219200).

1067331967632 is an abundant number, since it is smaller than the sum of its proper divisors (2849674470768).

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

1067331967632 is a wasteful number, since it uses less digits than its factorization.

1067331967632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 1067331967632 in words is "one trillion, sixty-seven billion, three hundred thirty-one million, nine hundred sixty-seven thousand, six hundred thirty-two".