1347655680 has 288 divisors, whose sum is σ = 5340535200. Its totient is φ = 307888128.

The previous prime is 1347655679. The next prime is 1347655697. The reversal of 1347655680 is 865567431.

1347655680 is a `hidden beast` number, since 13 + 4 + 7 + 6 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644076 + ... + 646164.

It is an arithmetic number, because the mean of its divisors is an integer number (18543525).

Almost surely, 2^1347655680 is an apocalyptic number.

1347655680 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 1347655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670267600).

1347655680 is an abundant number, since it is smaller than the sum of its proper divisors (3992879520).

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

1347655680 is a wasteful number, since it uses less digits than its factorization.

1347655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 1347655680 is about 36710.4301255107. The cubic root of 1347655680 is about 1104.5693345721.

The spelling of 1347655680 in words is "one billion, three hundred forty-seven million, six hundred fifty-five thousand, six hundred eighty".