960495782400 has 2880 divisors, whose sum is σ = 4654352102400. Its totient is φ = 183140352000.

The previous prime is 960495782387. The next prime is 960495782401. The reversal of 960495782400 is 4287594069.

960495782400 is a `hidden beast` number, since 9 + 6 + 0 + 49 + 578 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is not an unprimeable number, because it can be changed into a prime (960495782401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6910041531 + ... + 6910041669.

It is an arithmetic number, because the mean of its divisors is an integer number (1616094480).

Almost surely, 2^960495782400 is an apocalyptic number.

960495782400 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 960495782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327176051200).

960495782400 is an abundant number, since it is smaller than the sum of its proper divisors (3693856320000).

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

960495782400 is a wasteful number, since it uses less digits than its factorization.

960495782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 960495782400 in words is "nine hundred sixty billion, four hundred ninety-five million, seven hundred eighty-two thousand, four hundred".