1463766768 has 80 divisors (see below), whose sum is σ = 4315155360. Its totient is φ = 474729984.

The previous prime is 1463766767. The next prime is 1463766769. The reversal of 1463766768 is 8676673641.

It is an interprime number because it is at equal distance from previous prime (1463766767) and next prime (1463766769).

It is a super-2 number, since 2×1463766768² = 4285226302202331648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463766767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29805 + ... + 61772.

It is an arithmetic number, because the mean of its divisors is an integer number (53939442).

Almost surely, 2^1463766768 is an apocalyptic number.

1463766768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1463766768 is an abundant number, since it is smaller than the sum of its proper divisors (2851388592).

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

1463766768 is a wasteful number, since it uses less digits than its factorization.

1463766768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91631 (or 91619 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 1463766768 is about 38259.2050100365. The cubic root of 1463766768 is about 1135.4219725146.

The spelling of 1463766768 in words is "one billion, four hundred sixty-three million, seven hundred sixty-six thousand, seven hundred sixty-eight".