476395346700 has 1728 divisors, whose sum is σ = 2053458570240. Its totient is φ = 92192256000.

The previous prime is 476395346677. The next prime is 476395346701. The reversal of 476395346700 is 7643593674.

It is a happy number.

476395346700 is a `hidden beast` number, since 4 + 7 + 6 + 39 + 534 + 6 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476395346701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3636605635 + ... + 3636605765.

It is an arithmetic number, because the mean of its divisors is an integer number (1188344080).

Almost surely, 2^476395346700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476395346700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026729285120).

476395346700 is an abundant number, since it is smaller than the sum of its proper divisors (1577063223540).

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

476395346700 is a wasteful number, since it uses less digits than its factorization.

476395346700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 476395346700 in words is "four hundred seventy-six billion, three hundred ninety-five million, three hundred forty-six thousand, seven hundred".