1177412640768 has 2240 divisors, whose sum is σ = 4859626641408. Its totient is φ = 275188285440.

The previous prime is 1177412640763. The next prime is 1177412640779. The reversal of 1177412640768 is 8670462147711.

1177412640768 is a `hidden beast` number, since 1 + 177 + 4 + 1 + 2 + 6 + 407 + 68 = 666.

It is a super-3 number, since 3×1177412640768³ (a number of 37 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (1177412640763) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31821963246 + ... + 31821963282.

Almost surely, 2^{1177412640768} is an apocalyptic number.

1177412640768 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 1177412640768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429813320704).

1177412640768 is an abundant number, since it is smaller than the sum of its proper divisors (3682214000640).

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

1177412640768 is a wasteful number, since it uses less digits than its factorization.

1177412640768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 1177412640768 in words is "one trillion, one hundred seventy-seven billion, four hundred twelve million, six hundred forty thousand, seven hundred sixty-eight".