1366738464 has 192 divisors, whose sum is σ = 4462214400. Its totient is φ = 356659200.

The previous prime is 1366738433. The next prime is 1366738487. The reversal of 1366738464 is 4648376631.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 881562 + ... + 883110.

It is an arithmetic number, because the mean of its divisors is an integer number (23240700).

Almost surely, 2^1366738464 is an apocalyptic number.

1366738464 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 1366738464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231107200).

1366738464 is an abundant number, since it is smaller than the sum of its proper divisors (3095475936).

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

1366738464 is a wasteful number, since it uses less digits than its factorization.

1366738464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1675 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 1366738464 is about 36969.4260707412. The cubic root of 1366738464 is about 1109.7584800392.

The spelling of 1366738464 in words is "one billion, three hundred sixty-six million, seven hundred thirty-eight thousand, four hundred sixty-four".