1307471608080 has 720 divisors, whose sum is σ = 4912515578880. Its totient is φ = 311351040000.

The previous prime is 1307471607989. The next prime is 1307471608103. The reversal of 1307471608080 is 808061747031.

1307471608080 is a `hidden beast` number, since 1 + 30 + 7 + 4 + 7 + 1 + 608 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1307471608080² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1865151730 + ... + 1865152430.

It is an arithmetic number, because the mean of its divisors is an integer number (6822938304).

Almost surely, 2^{1307471608080} is an apocalyptic number.

1307471608080 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 1307471608080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456257789440).

1307471608080 is an abundant number, since it is smaller than the sum of its proper divisors (3605043970800).

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

1307471608080 is a wasteful number, since it uses less digits than its factorization.

1307471608080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1307471608080 in words is "one trillion, three hundred seven billion, four hundred seventy-one million, six hundred eight thousand, eighty".