477599649408 has 832 divisors, whose sum is σ = 1756305115200. Its totient is φ = 126253375488.

The previous prime is 477599649379. The next prime is 477599649431. The reversal of 477599649408 is 804946995774.

477599649408 is a `hidden beast` number, since 4 + 7 + 75 + 99 + 64 + 9 + 408 = 666.

It is a super-2 number, since 2×477599649408² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 103 ways as a sum of consecutive naturals, for example, 8094909283 + ... + 8094909341.

Almost surely, 2^477599649408 is an apocalyptic number.

477599649408 is a gapful number since it is divisible by the number (48) 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 477599649408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878152557600).

477599649408 is an abundant number, since it is smaller than the sum of its proper divisors (1278705465792).

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

477599649408 is an frugal number, since it uses more digits than its factorization.

477599649408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 477599649408 in words is "four hundred seventy-seven billion, five hundred ninety-nine million, six hundred forty-nine thousand, four hundred eight".