960604001280 has 2112 divisors, whose sum is σ = 4414445568000. Its totient is φ = 187245527040.

The previous prime is 960604001263. The next prime is 960604001293. The reversal of 960604001280 is 82100406069.

960604001280 is a `hidden beast` number, since 9 + 606 + 0 + 40 + 0 + 1 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6447006646 + ... + 6447006794.

Almost surely, 2^960604001280 is an apocalyptic number.

960604001280 is a gapful number since it is divisible by the number (90) 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 960604001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207222784000).

960604001280 is an abundant number, since it is smaller than the sum of its proper divisors (3453841566720).

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

960604001280 is a wasteful number, since it uses less digits than its factorization.

960604001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 960604001280 in words is "nine hundred sixty billion, six hundred four million, one thousand, two hundred eighty".