956287952640 has 288 divisors, whose sum is σ = 3397532221440. Its totient is φ = 254706683904.

The previous prime is 956287952593. The next prime is 956287952657. The reversal of 956287952640 is 46259782659.

956287952640 is a `hidden beast` number, since 9 + 5 + 6 + 287 + 95 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×956287952640³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29809249 + ... + 29841311.

It is an arithmetic number, because the mean of its divisors is an integer number (11796986880).

Almost surely, 2^956287952640 is an apocalyptic number.

956287952640 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 956287952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698766110720).

956287952640 is an abundant number, since it is smaller than the sum of its proper divisors (2441244268800).

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

956287952640 is a wasteful number, since it uses less digits than its factorization.

956287952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32956 (or 32936 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 956287952640 in words is "nine hundred fifty-six billion, two hundred eighty-seven million, nine hundred fifty-two thousand, six hundred forty".