955631960640 has 2240 divisors, whose sum is σ = 4282657505280. Its totient is φ = 197512888320.

The previous prime is 955631960587. The next prime is 955631960669. The reversal of 955631960640 is 46069136559.

955631960640 is a `hidden beast` number, since 9 + 5 + 563 + 19 + 6 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-3 number, since 3×955631960640³ (a number of 37 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10737437716 + ... + 10737437804.

It is an arithmetic number, because the mean of its divisors is an integer number (1911900672).

Almost surely, 2^955631960640 is an apocalyptic number.

955631960640 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 955631960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141328752640).

955631960640 is an abundant number, since it is smaller than the sum of its proper divisors (3327025544640).

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

955631960640 is a wasteful number, since it uses less digits than its factorization.

955631960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 955631960640 in words is "nine hundred fifty-five billion, six hundred thirty-one million, nine hundred sixty thousand, six hundred forty".