475940551680 has 1980 divisors, whose sum is σ = 2085926783688. Its totient is φ = 102877102080.

The previous prime is 475940551643. The next prime is 475940551711. The reversal of 475940551680 is 86155049574.

It is a happy number.

475940551680 is a `hidden beast` number, since 4 + 7 + 5 + 9 + 4 + 0 + 551 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1980).

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 179 ways as a sum of consecutive naturals, for example, 25049502711 + ... + 25049502729.

Almost surely, 2^475940551680 is an apocalyptic number.

475940551680 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 475940551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042963391844).

475940551680 is an abundant number, since it is smaller than the sum of its proper divisors (1609986232008).

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

475940551680 is a wasteful number, since it uses less digits than its factorization.

475940551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 475940551680 in words is "four hundred seventy-five billion, nine hundred forty million, five hundred fifty-one thousand, six hundred eighty".