1303673764960 has 288 divisors, whose sum is σ = 3757935420288. Its totient is φ = 425635983360.

The previous prime is 1303673764879. The next prime is 1303673764963. The reversal of 1303673764960 is 694673763031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303673764963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13585950 + ... + 13681570.

It is an arithmetic number, because the mean of its divisors is an integer number (13048386876).

Almost surely, 2^{1303673764960} is an apocalyptic number.

1303673764960 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 1303673764960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878967710144).

1303673764960 is an abundant number, since it is smaller than the sum of its proper divisors (2454261655328).

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

1303673764960 is a wasteful number, since it uses less digits than its factorization.

1303673764960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95734 (or 95719 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 55.

The spelling of 1303673764960 in words is "one trillion, three hundred three billion, six hundred seventy-three million, seven hundred sixty-four thousand, nine hundred sixty".