477417407616 has 512 divisors, whose sum is σ = 1525045248000. Its totient is φ = 146601861120.

The previous prime is 477417407611. The next prime is 477417407627. The reversal of 477417407616 is 616704714774.

477417407616 is a `hidden beast` number, since 4 + 7 + 7 + 4 + 17 + 4 + 0 + 7 + 616 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (477417407611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 771271755 + ... + 771272373.

It is an arithmetic number, because the mean of its divisors is an integer number (2978604000).

Almost surely, 2^477417407616 is an apocalyptic number.

477417407616 is a gapful number since it is divisible by the number (46) 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 477417407616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762522624000).

477417407616 is an abundant number, since it is smaller than the sum of its proper divisors (1047627840384).

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

477417407616 is a wasteful number, since it uses less digits than its factorization.

477417407616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 477417407616 in words is "four hundred seventy-seven billion, four hundred seventeen million, four hundred seven thousand, six hundred sixteen".