117766284480 has 672 divisors, whose sum is σ = 457829107200. Its totient is φ = 28476444672.

The previous prime is 117766284439. The next prime is 117766284541. The reversal of 117766284480 is 84482667711.

117766284480 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 6 + 628 + 4 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 86148757 + ... + 86150123.

Almost surely, 2^117766284480 is an apocalyptic number.

117766284480 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 117766284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228914553600).

117766284480 is an abundant number, since it is smaller than the sum of its proper divisors (340062822720).

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

117766284480 is a wasteful number, since it uses less digits than its factorization.

117766284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 117766284480 in words is "one hundred seventeen billion, seven hundred sixty-six million, two hundred eighty-four thousand, four hundred eighty".