1073551680 has 336 divisors, whose sum is σ = 4060667520. Its totient is φ = 259117056.

The previous prime is 1073551663. The next prime is 1073551691. The reversal of 1073551680 is 861553701.

1073551680 is a `hidden beast` number, since 107 + 35 + 516 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1258134 + ... + 1258986.

It is an arithmetic number, because the mean of its divisors is an integer number (12085320).

Almost surely, 2^1073551680 is an apocalyptic number.

1073551680 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 1073551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030333760).

1073551680 is an abundant number, since it is smaller than the sum of its proper divisors (2987115840).

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

1073551680 is a wasteful number, since it uses less digits than its factorization.

1073551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1073551680 is about 32765.0985043537. The cubic root of 1073551680 is about 1023.9395512819.

The spelling of 1073551680 in words is "one billion, seventy-three million, five hundred fifty-one thousand, six hundred eighty".