475154964000 has 1536 divisors, whose sum is σ = 1971701222400. Its totient is φ = 110415052800.

The previous prime is 475154963993. The next prime is 475154964029. The reversal of 475154964000 is 469451574.

475154964000 is a `hidden beast` number, since 4 + 7 + 5 + 154 + 96 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1848851872 + ... + 1848852128.

It is an arithmetic number, because the mean of its divisors is an integer number (1283659650).

Almost surely, 2^475154964000 is an apocalyptic number.

475154964000 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 475154964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985850611200).

475154964000 is an abundant number, since it is smaller than the sum of its proper divisors (1496546258400).

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

475154964000 is a wasteful number, since it uses less digits than its factorization.

475154964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 475154964000 in words is "four hundred seventy-five billion, one hundred fifty-four million, nine hundred sixty-four thousand".