1334672640 has 432 divisors, whose sum is σ = 5481909888. Its totient is φ = 304570368.

The previous prime is 1334672639. The next prime is 1334672653. The reversal of 1334672640 is 462764331.

It is a happy number.

1334672640 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 6 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1334672595 and 1334672604.

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, 2176974 + ... + 2177586.

Almost surely, 2^1334672640 is an apocalyptic number.

1334672640 is a gapful number since it is divisible by the number (10) 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 1334672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740954944).

1334672640 is an abundant number, since it is smaller than the sum of its proper divisors (4147237248).

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

1334672640 is an frugal number, since it uses more digits than its factorization.

1334672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 1334672640 is about 36533.1717757985. The cubic root of 1334672640 is about 1101.0108174067.

The spelling of 1334672640 in words is "one billion, three hundred thirty-four million, six hundred seventy-two thousand, six hundred forty".