1493864064 has 288 divisors, whose sum is σ = 5403609120. Its totient is φ = 387763200.

The previous prime is 1493864059. The next prime is 1493864077. The reversal of 1493864064 is 4604683941.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 974979 + ... + 976509.

Almost surely, 2^1493864064 is an apocalyptic number.

1493864064 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 1493864064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701804560).

1493864064 is an abundant number, since it is smaller than the sum of its proper divisors (3909745056).

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

1493864064 is a wasteful number, since it uses less digits than its factorization.

1493864064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 1493864064 is about 38650.5376935432. The cubic root of 1493864064 is about 1143.1512442146.

The spelling of 1493864064 in words is "one billion, four hundred ninety-three million, eight hundred sixty-four thousand, sixty-four".