1363022640 has 400 divisors, whose sum is σ = 5473459200. Its totient is φ = 307929600.

The previous prime is 1363022621. The next prime is 1363022671. The reversal of 1363022640 is 462203631.

1363022640 is a `hidden beast` number, since 1 + 3 + 630 + 2 + 26 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 6849261 + ... + 6849459.

It is an arithmetic number, because the mean of its divisors is an integer number (13683648).

Almost surely, 2^1363022640 is an apocalyptic number.

1363022640 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 1363022640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736729600).

1363022640 is an abundant number, since it is smaller than the sum of its proper divisors (4110436560).

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

1363022640 is a wasteful number, since it uses less digits than its factorization.

1363022640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1363022640 is about 36919.1365012780. The cubic root of 1363022640 is about 1108.7518475744.

The spelling of 1363022640 in words is "one billion, three hundred sixty-three million, twenty-two thousand, six hundred forty".