1337668992 has 320 divisors, whose sum is σ = 4474221840. Its totient is φ = 393154560.

The previous prime is 1337668979. The next prime is 1337669017. The reversal of 1337668992 is 2998667331.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4219618 + ... + 4219934.

Almost surely, 2^1337668992 is an apocalyptic number.

1337668992 is a gapful number since it is divisible by the number (12) 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 1337668992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237110920).

1337668992 is an abundant number, since it is smaller than the sum of its proper divisors (3136552848).

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

1337668992 is a wasteful number, since it uses less digits than its factorization.

1337668992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 370 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 1337668992 is about 36574.1574339041. The cubic root of 1337668992 is about 1101.8341279741.

The spelling of 1337668992 in words is "one billion, three hundred thirty-seven million, six hundred sixty-eight thousand, nine hundred ninety-two".