1467142768 has 160 divisors (see below), whose sum is σ = 3685764096. Its totient is φ = 549863424.

The previous prime is 1467142763. The next prime is 1467142771. The reversal of 1467142768 is 8672417641.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1467142763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6463071 + ... + 6463297.

Almost surely, 2^1467142768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1467142768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842882048).

1467142768 is an abundant number, since it is smaller than the sum of its proper divisors (2218621328).

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

1467142768 is a wasteful number, since it uses less digits than its factorization.

1467142768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its digits is 451584, while the sum is 46.

The square root of 1467142768 is about 38303.2997012007. The cubic root of 1467142768 is about 1136.2942065135.

The spelling of 1467142768 in words is "one billion, four hundred sixty-seven million, one hundred forty-two thousand, seven hundred sixty-eight".