1167675678720 has 560 divisors, whose sum is σ = 4245893248608. Its totient is φ = 306932613120.

The previous prime is 1167675678713. The next prime is 1167675678721. The reversal of 1167675678720 is 278765767611.

1167675678720 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 67 + 567 + 8 + 7 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1167675678721) 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, 235558482 + ... + 235563438.

Almost surely, 2^{1167675678720} is an apocalyptic number.

1167675678720 is a gapful number since it is divisible by the number (10) 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 1167675678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122946624304).

1167675678720 is an abundant number, since it is smaller than the sum of its proper divisors (3078217569888).

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

1167675678720 is an frugal number, since it uses more digits than its factorization.

1167675678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5071 (or 5038 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 1167675678720 in words is "one trillion, one hundred sixty-seven billion, six hundred seventy-five million, six hundred seventy-eight thousand, seven hundred twenty".