1069764864 has 288 divisors, whose sum is σ = 3453542400. Its totient is φ = 293529600.

The previous prime is 1069764863. The next prime is 1069764889. The reversal of 1069764864 is 4684679601.

It is a super-2 number, since 2×1069764864² = 2288793728497876992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1069764863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8166079 + ... + 8166209.

Almost surely, 2^1069764864 is an apocalyptic number.

1069764864 is a gapful number since it is divisible by the number (14) 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 1069764864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726771200).

1069764864 is an abundant number, since it is smaller than the sum of its proper divisors (2383777536).

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

1069764864 is an equidigital number, since it uses as much as digits as its factorization.

1069764864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 1069764864 is about 32707.2601114798. The cubic root of 1069764864 is about 1022.7341943975.

The spelling of 1069764864 in words is "one billion, sixty-nine million, seven hundred sixty-four thousand, eight hundred sixty-four".