1364307768 has 192 divisors, whose sum is σ = 4097433600. Its totient is φ = 408395520.

The previous prime is 1364307757. The next prime is 1364307773. The reversal of 1364307768 is 8677034631.

It is a super-2 number, since 2×1364307768² = 3722671371650283648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2247321 + ... + 2247927.

It is an arithmetic number, because the mean of its divisors is an integer number (21340800).

Almost surely, 2^1364307768 is an apocalyptic number.

1364307768 is a gapful number since it is divisible by the number (18) 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 1364307768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048716800).

1364307768 is an abundant number, since it is smaller than the sum of its proper divisors (2733125832).

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

1364307768 is a wasteful number, since it uses less digits than its factorization.

1364307768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 1364307768 is about 36936.5370331329. The cubic root of 1364307768 is about 1109.1002009124.

The spelling of 1364307768 in words is "one billion, three hundred sixty-four million, three hundred seven thousand, seven hundred sixty-eight".