476761969008 has 160 divisors (see below), whose sum is σ = 1474517083200. Its totient is φ = 146619777024.

The previous prime is 476761968953. The next prime is 476761969063. The reversal of 476761969008 is 800969167674.

476761969008 is a `hidden beast` number, since 4 + 7 + 6 + 7 + 619 + 6 + 9 + 0 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (476761968953) and next prime (476761969063).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11306428 + ... + 11348516.

It is an arithmetic number, because the mean of its divisors is an integer number (9215731770).

Almost surely, 2^476761969008 is an apocalyptic number.

476761969008 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 476761969008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737258541600).

476761969008 is an abundant number, since it is smaller than the sum of its proper divisors (997755114192).

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

476761969008 is a wasteful number, since it uses less digits than its factorization.

476761969008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44136 (or 44124 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 476761969008 in words is "four hundred seventy-six billion, seven hundred sixty-one million, nine hundred sixty-nine thousand, eight".