1064641680 has 120 divisors (see below), whose sum is σ = 3690835200. Its totient is φ = 274740480.

The previous prime is 1064641631. The next prime is 1064641693. The reversal of 1064641680 is 861464601.

1064641680 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 641 + 6 + 8 + 0 = 666.

1064641680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1064641680² = 2266923813586444800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1530 + ... + 46169.

It is an arithmetic number, because the mean of its divisors is an integer number (30756960).

Almost surely, 2^1064641680 is an apocalyptic number.

1064641680 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 1064641680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845417600).

1064641680 is an abundant number, since it is smaller than the sum of its proper divisors (2626193520).

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

1064641680 is a wasteful number, since it uses less digits than its factorization.

1064641680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47749 (or 47740 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1064641680 is about 32628.8473593537. The cubic root of 1064641680 is about 1021.0989309452.

It can be divided in two parts, 10646 and 41680, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 1064641680 in words is "one billion, sixty-four million, six hundred forty-one thousand, six hundred eighty".