1077667948008 has 160 divisors (see below), whose sum is σ = 3040776585000. Its totient is φ = 356571072000.

The previous prime is 1077667948001. The next prime is 1077667948033. The reversal of 1077667948008 is 8008497667701.

1077667948008 is a `hidden beast` number, since 10 + 7 + 76 + 6 + 79 + 480 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1073424467844 + 4243480164 = 1036062^2 + 65142^2 .

It is a super-2 number, since 2×1077667948008² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1077667948001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 195901258 + ... + 195906758.

Almost surely, 2^{1077667948008} is an apocalyptic number.

1077667948008 is a gapful number since it is divisible by the number (18) 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 1077667948008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520388292500).

1077667948008 is an abundant number, since it is smaller than the sum of its proper divisors (1963108636992).

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

1077667948008 is a wasteful number, since it uses less digits than its factorization.

1077667948008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7697 (or 7684 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 1077667948008 in words is "one trillion, seventy-seven billion, six hundred sixty-seven million, nine hundred forty-eight thousand, eight".