477880677120 has 864 divisors, whose sum is σ = 1945143002880. Its totient is φ = 98873671680.

The previous prime is 477880677091. The next prime is 477880677151. The reversal of 477880677120 is 21776088774.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 772020171 + ... + 772020789.

It is an arithmetic number, because the mean of its divisors is an integer number (2251322920).

Almost surely, 2^477880677120 is an apocalyptic number.

477880677120 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 477880677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972571501440).

477880677120 is an abundant number, since it is smaller than the sum of its proper divisors (1467262325760).

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

477880677120 is a wasteful number, since it uses less digits than its factorization.

477880677120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 7375872, while the sum is 57.

The spelling of 477880677120 in words is "four hundred seventy-seven billion, eight hundred eighty million, six hundred seventy-seven thousand, one hundred twenty".