477968783040 has 1344 divisors, whose sum is σ = 2054810419200. Its totient is φ = 104161075200.

The previous prime is 477968782987. The next prime is 477968783069. The reversal of 477968783040 is 40387869774.

477968783040 is a `hidden beast` number, since 477 + 9 + 6 + 87 + 83 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1036808410 + ... + 1036808870.

It is an arithmetic number, because the mean of its divisors is an integer number (1528876800).

Almost surely, 2^477968783040 is an apocalyptic number.

477968783040 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 477968783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027405209600).

477968783040 is an abundant number, since it is smaller than the sum of its proper divisors (1576841636160).

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

477968783040 is a wasteful number, since it uses less digits than its factorization.

477968783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 477968783040 in words is "four hundred seventy-seven billion, nine hundred sixty-eight million, seven hundred eighty-three thousand, forty".