1303673978880 has 2400 divisors, whose sum is σ = 6138663100416. Its totient is φ = 256842399744.

The previous prime is 1303673978861. The next prime is 1303673978899. The reversal of 1303673978880 is 888793763031.

1303673978880 is a `hidden beast` number, since 1 + 30 + 3 + 67 + 397 + 88 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1303673978861) and next prime (1303673978899).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10265149377 + ... + 10265149503.

Almost surely, 2^{1303673978880} is an apocalyptic number.

1303673978880 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 1303673978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069331550208).

1303673978880 is an abundant number, since it is smaller than the sum of its proper divisors (4834989121536).

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

1303673978880 is a wasteful number, since it uses less digits than its factorization.

1303673978880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 1303673978880 in words is "one trillion, three hundred three billion, six hundred seventy-three million, nine hundred seventy-eight thousand, eight hundred eighty".