1364407680 has 128 divisors (see below), whose sum is σ = 4372128000. Its totient is φ = 361912320.

The previous prime is 1364407669. The next prime is 1364407703. The reversal of 1364407680 is 867044631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380295 + ... + 383865.

It is an arithmetic number, because the mean of its divisors is an integer number (34157250).

Almost surely, 2^1364407680 is an apocalyptic number.

1364407680 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 1364407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186064000).

1364407680 is an abundant number, since it is smaller than the sum of its proper divisors (3007720320).

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

1364407680 is a wasteful number, since it uses less digits than its factorization.

1364407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 1364407680 is about 36937.8894903323. The cubic root of 1364407680 is about 1109.1272744015.

The spelling of 1364407680 in words is "one billion, three hundred sixty-four million, four hundred seven thousand, six hundred eighty".