952604674655040 has 2016 divisors, whose sum is σ = 3743569088034048. Its totient is φ = 222005816524800.

The previous prime is 952604674655027. The next prime is 952604674655177. The reversal of 952604674655040 is 40556476406259.

It is a happy number.

952604674655040 is a `hidden beast` number, since 9 + 5 + 2 + 6 + 0 + 4 + 6 + 74 + 6 + 550 + 4 + 0 = 666.

It is a super-3 number, since 3×952604674655040³ (a number of 46 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 596496351522 + ... + 596496353118.

It is an arithmetic number, because the mean of its divisors is an integer number (1856929111128).

Almost surely, 2^{952604674655040} is an apocalyptic number.

952604674655040 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 952604674655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871784544017024).

952604674655040 is an abundant number, since it is smaller than the sum of its proper divisors (2790964413379008).

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

952604674655040 is a wasteful number, since it uses less digits than its factorization.

952604674655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 952604674655040 in words is "nine hundred fifty-two trillion, six hundred four billion, six hundred seventy-four million, six hundred fifty-five thousand, forty".