956951376480 has 1152 divisors, whose sum is σ = 3989255961600. Its totient is φ = 205878067200.

The previous prime is 956951376457. The next prime is 956951376487. The reversal of 956951376480 is 84673159659.

956951376480 is a `hidden beast` number, since 9 + 5 + 6 + 9 + 513 + 76 + 48 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956951376487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1836758620 + ... + 1836759140.

It is an arithmetic number, because the mean of its divisors is an integer number (3462895800).

Almost surely, 2^956951376480 is an apocalyptic number.

956951376480 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 956951376480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994627980800).

956951376480 is an abundant number, since it is smaller than the sum of its proper divisors (3032304585120).

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

956951376480 is a wasteful number, since it uses less digits than its factorization.

956951376480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 956951376480 in words is "nine hundred fifty-six billion, nine hundred fifty-one million, three hundred seventy-six thousand, four hundred eighty".