477914639680 has 112 divisors (see below), whose sum is σ = 1177468637184. Its totient is φ = 184570306560.

The previous prime is 477914639677. The next prime is 477914639689. The reversal of 477914639680 is 86936419774.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477914639689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4239729 + ... + 4350991.

It is an arithmetic number, because the mean of its divisors is an integer number (10513112832).

Almost surely, 2^477914639680 is an apocalyptic number.

477914639680 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 477914639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588734318592).

477914639680 is an abundant number, since it is smaller than the sum of its proper divisors (699553997504).

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

477914639680 is a wasteful number, since it uses less digits than its factorization.

477914639680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111744 (or 111734 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 64.

The spelling of 477914639680 in words is "four hundred seventy-seven billion, nine hundred fourteen million, six hundred thirty-nine thousand, six hundred eighty".