1176657672420 has 432 divisors, whose sum is σ = 3917316312000. Its totient is φ = 285013002240.

The previous prime is 1176657672409. The next prime is 1176657672433. The reversal of 1176657672420 is 242767566711.

1176657672420 is a `hidden beast` number, since 1 + 1 + 7 + 66 + 576 + 7 + 2 + 4 + 2 + 0 = 666.

It is a super-3 number, since 3×1176657672420³ (a number of 37 digits) contains 333 as substring.

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 143 ways as a sum of consecutive naturals, for example, 339190446 + ... + 339193914.

Almost surely, 2^{1176657672420} is an apocalyptic number.

1176657672420 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 1176657672420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958658156000).

1176657672420 is an abundant number, since it is smaller than the sum of its proper divisors (2740658639580).

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

1176657672420 is a wasteful number, since it uses less digits than its factorization.

1176657672420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 1176657672420 in words is "one trillion, one hundred seventy-six billion, six hundred fifty-seven million, six hundred seventy-two thousand, four hundred twenty".