477779290128 has 160 divisors (see below), whose sum is σ = 1567575859200. Its totient is φ = 136485938304.

The previous prime is 477779290081. The next prime is 477779290129. The reversal of 477779290128 is 821092977774.

477779290128 is a `hidden beast` number, since 477 + 7 + 79 + 2 + 90 + 1 + 2 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (477779290129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29442625 + ... + 29458847.

It is an arithmetic number, because the mean of its divisors is an integer number (9797349120).

Almost surely, 2^477779290128 is an apocalyptic number.

477779290128 is a gapful number since it is divisible by the number (48) 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 477779290128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783787929600).

477779290128 is an abundant number, since it is smaller than the sum of its proper divisors (1089796569072).

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

477779290128 is a wasteful number, since it uses less digits than its factorization.

477779290128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25986 (or 25974 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 63.

The spelling of 477779290128 in words is "four hundred seventy-seven billion, seven hundred seventy-nine million, two hundred ninety thousand, one hundred twenty-eight".