475736286480 has 960 divisors, whose sum is σ = 2030163394560. Its totient is φ = 89476005888.

The previous prime is 475736286479. The next prime is 475736286481. The reversal of 475736286480 is 84682637574.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (475736286479) and next prime (475736286481).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (475736286481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119921457 + ... + 119925423.

It is an arithmetic number, because the mean of its divisors is an integer number (2114753536).

Almost surely, 2^475736286480 is an apocalyptic number.

475736286480 is a gapful number since it is divisible by the number (40) 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 475736286480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015081697280).

475736286480 is an abundant number, since it is smaller than the sum of its proper divisors (1554427108080).

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

475736286480 is a wasteful number, since it uses less digits than its factorization.

475736286480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 60.

The spelling of 475736286480 in words is "four hundred seventy-five billion, seven hundred thirty-six million, two hundred eighty-six thousand, four hundred eighty".