952474775040 has 560 divisors, whose sum is σ = 3542264352000. Its totient is φ = 245220950016.

The previous prime is 952474775027. The next prime is 952474775051. The reversal of 952474775040 is 40577474259.

952474775040 is a `hidden beast` number, since 9 + 52 + 47 + 47 + 7 + 504 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 54112161 + ... + 54129759.

Almost surely, 2^952474775040 is an apocalyptic number.

952474775040 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 952474775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771132176000).

952474775040 is an abundant number, since it is smaller than the sum of its proper divisors (2589789576960).

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

952474775040 is an equidigital number, since it uses as much as digits as its factorization.

952474775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17669 (or 17638 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 952474775040 in words is "nine hundred fifty-two billion, four hundred seventy-four million, seven hundred seventy-five thousand, forty".