960604381900800 has 6240 divisors, whose sum is σ = 4707475952256000. Its totient is φ = 191869298933760.

The previous prime is 960604381900799. The next prime is 960604381900811. The reversal of 960604381900800 is 8009183406069.

960604381900800 is a `hidden beast` number, since 9 + 60 + 60 + 438 + 1 + 90 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 702709861717 + ... + 702709863083.

Almost surely, 2^{960604381900800} is an apocalyptic number.

960604381900800 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 960604381900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353737976128000).

960604381900800 is an abundant number, since it is smaller than the sum of its proper divisors (3746871570355200).

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

960604381900800 is a wasteful number, since it uses less digits than its factorization.

960604381900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 960604381900800 in words is "nine hundred sixty trillion, six hundred four billion, three hundred eighty-one million, nine hundred thousand, eight hundred".