1167642915840 has 616 divisors, whose sum is σ = 4217354840160. Its totient is φ = 310052634624.

The previous prime is 1167642915823. The next prime is 1167642915917. The reversal of 1167642915840 is 485192467611.

1167642915840 is a `hidden beast` number, since 1 + 1 + 67 + 6 + 429 + 158 + 4 + 0 = 666.

It is a super-2 number, since 2×1167642915840² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1145870851 + ... + 1145871869.

It is an arithmetic number, because the mean of its divisors is an integer number (6846355260).

Almost surely, 2^{1167642915840} is an apocalyptic number.

1167642915840 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 1167642915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108677420080).

1167642915840 is an abundant number, since it is smaller than the sum of its proper divisors (3049711924320).

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

1167642915840 is an equidigital number, since it uses as much as digits as its factorization.

1167642915840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1167642915840 in words is "one trillion, one hundred sixty-seven billion, six hundred forty-two million, nine hundred fifteen thousand, eight hundred forty".