1364406720 has 336 divisors, whose sum is σ = 4756635648. Its totient is φ = 330946560.

The previous prime is 1364406707. The next prime is 1364406721. The reversal of 1364406720 is 276044631.

It is a happy number.

It is a super-3 number, since 3×1364406720³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364406721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10743297 + ... + 10743423.

Almost surely, 2^1364406720 is an apocalyptic number.

1364406720 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 1364406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378317824).

1364406720 is an abundant number, since it is smaller than the sum of its proper divisors (3392228928).

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

1364406720 is a wasteful number, since it uses less digits than its factorization.

1364406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 1364406720 is about 36937.8764955432. The cubic root of 1364406720 is about 1109.1270142734.

The spelling of 1364406720 in words is "one billion, three hundred sixty-four million, four hundred six thousand, seven hundred twenty".