1079664768 has 256 divisors, whose sum is σ = 3923001600. Its totient is φ = 284663808.

The previous prime is 1079664763. The next prime is 1079664779. The reversal of 1079664768 is 8674669701.

It is a happy number.

1079664768 is a `hidden beast` number, since 107 + 9 + 66 + 476 + 8 = 666.

It is a super-2 number, since 2×1079664768² = 2331352022520987648, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1079664763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312780 + ... + 316212.

It is an arithmetic number, because the mean of its divisors is an integer number (15324225).

Almost surely, 2^1079664768 is an apocalyptic number.

1079664768 is a gapful number since it is divisible by the number (18) 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 1079664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961500800).

1079664768 is an abundant number, since it is smaller than the sum of its proper divisors (2843336832).

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

1079664768 is a wasteful number, since it uses less digits than its factorization.

1079664768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3476 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 1079664768 is about 32858.2526620026. The cubic root of 1079664768 is about 1025.8794017138.

The spelling of 1079664768 in words is "one billion, seventy-nine million, six hundred sixty-four thousand, seven hundred sixty-eight".