477198726732 has 384 divisors, whose sum is σ = 1587340339200. Its totient is φ = 120577766400.

The previous prime is 477198726731. The next prime is 477198726737. The reversal of 477198726732 is 237627891774.

477198726732 is a `hidden beast` number, since 477 + 1 + 9 + 8 + 72 + 67 + 32 = 666.

477198726732 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×477198726732² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 477198726732.

It is not an unprimeable number, because it can be changed into a prime (477198726731) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37330182 + ... + 37342962.

It is an arithmetic number, because the mean of its divisors is an integer number (4133698800).

Almost surely, 2^477198726732 is an apocalyptic number.

477198726732 is a gapful number since it is divisible by the number (42) 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 477198726732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793670169600).

477198726732 is an abundant number, since it is smaller than the sum of its proper divisors (1110141612468).

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

477198726732 is a wasteful number, since it uses less digits than its factorization.

477198726732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12974 (or 12966 counting only the distinct ones).

The product of its digits is 49787136, while the sum is 63.

The spelling of 477198726732 in words is "four hundred seventy-seven billion, one hundred ninety-eight million, seven hundred twenty-six thousand, seven hundred thirty-two".