1347075800640 has 280 divisors, whose sum is σ = 4793480188992. Its totient is φ = 359093191680.

The previous prime is 1347075800591. The next prime is 1347075800647. The reversal of 1347075800640 is 460085707431.

1347075800640 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 0 + 7 + 580 + 0 + 64 + 0 = 666.

It is a super-3 number, since 3×1347075800640³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (1347075800647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90479277 + ... + 90494163.

Almost surely, 2^{1347075800640} is an apocalyptic number.

1347075800640 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 1347075800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396740094496).

1347075800640 is an abundant number, since it is smaller than the sum of its proper divisors (3446404388352).

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

1347075800640 is a wasteful number, since it uses less digits than its factorization.

1347075800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18407 (or 18388 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 1347075800640 in words is "one trillion, three hundred forty-seven billion, seventy-five million, eight hundred thousand, six hundred forty".