1377624468 has 96 divisors (see below), whose sum is σ = 3785564160. Its totient is φ = 385517440.

The previous prime is 1377624463. The next prime is 1377624481. The reversal of 1377624468 is 8644267731.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377624463) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 80221 + ... + 95867.

It is an arithmetic number, because the mean of its divisors is an integer number (39432960).

Almost surely, 2^1377624468 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 1377624468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892782080).

1377624468 is an abundant number, since it is smaller than the sum of its proper divisors (2407939692).

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

1377624468 is a wasteful number, since it uses less digits than its factorization.

1377624468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15717 (or 15715 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The square root of 1377624468 is about 37116.3638844109. The cubic root of 1377624468 is about 1112.6970822496.

The spelling of 1377624468 in words is "one billion, three hundred seventy-seven million, six hundred twenty-four thousand, four hundred sixty-eight".