1159764480 has 800 divisors, whose sum is σ = 5133528576. Its totient is φ = 244187136.

The previous prime is 1159764461. The next prime is 1159764511. The reversal of 1159764480 is 844679511.

1159764480 is a `hidden beast` number, since 11 + 597 + 6 + 4 + 48 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 24675817 + ... + 24675863.

Almost surely, 2^1159764480 is an apocalyptic number.

1159764480 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 1159764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566764288).

1159764480 is an abundant number, since it is smaller than the sum of its proper divisors (3973764096).

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

1159764480 is an equidigital number, since it uses as much as digits as its factorization.

1159764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1159764480 is about 34055.3150036819. The cubic root of 1159764480 is about 1050.6464590523.

The spelling of 1159764480 in words is "one billion, one hundred fifty-nine million, seven hundred sixty-four thousand, four hundred eighty".