477968247360 has 336 divisors, whose sum is σ = 1759906616832. Its totient is φ = 123346022400.

The previous prime is 477968247349. The next prime is 477968247373. The reversal of 477968247360 is 63742869774.

It is a happy number.

477968247360 is a `hidden beast` number, since 4 + 77 + 96 + 8 + 2 + 473 + 6 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2311420 + ... + 2509700.

It is an arithmetic number, because the mean of its divisors is an integer number (5237817312).

Almost surely, 2^477968247360 is an apocalyptic number.

477968247360 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 477968247360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879953308416).

477968247360 is an abundant number, since it is smaller than the sum of its proper divisors (1281938369472).

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

477968247360 is a wasteful number, since it uses less digits than its factorization.

477968247360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198344 (or 198322 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 477968247360 in words is "four hundred seventy-seven billion, nine hundred sixty-eight million, two hundred forty-seven thousand, three hundred sixty".