1168764480 has 672 divisors, whose sum is σ = 4792919040. Its totient is φ = 258785280.

The previous prime is 1168764451. The next prime is 1168764497. The reversal of 1168764480 is 844678611.

1168764480 is a `hidden beast` number, since 1 + 168 + 7 + 6 + 4 + 480 = 666.

It is a super-3 number, since 3×1168764480³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22052134 + ... + 22052186.

It is an arithmetic number, because the mean of its divisors is an integer number (7132320).

Almost surely, 2^1168764480 is an apocalyptic number.

1168764480 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 1168764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396459520).

1168764480 is an abundant number, since it is smaller than the sum of its proper divisors (3624154560).

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

1168764480 is a wasteful number, since it uses less digits than its factorization.

1168764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1168764480 is about 34187.1976037814. The cubic root of 1168764480 is about 1053.3572000503.

It can be divided in two parts, 11687 and 64480, that added together give a palindrome (76167).

The spelling of 1168764480 in words is "one billion, one hundred sixty-eight million, seven hundred sixty-four thousand, four hundred eighty".