476072530770640 has 320 divisors, whose sum is σ = 1232049943756800. Its totient is φ = 170157571448832.

The previous prime is 476072530770637. The next prime is 476072530770647. The reversal of 476072530770640 is 46077035270674.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476072530770647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20169989079 + ... + 20170012681.

It is an arithmetic number, because the mean of its divisors is an integer number (3850156074240).

Almost surely, 2^{476072530770640} is an apocalyptic number.

476072530770640 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 476072530770640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616024971878400).

476072530770640 is an abundant number, since it is smaller than the sum of its proper divisors (755977412986160).

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

476072530770640 is a wasteful number, since it uses less digits than its factorization.

476072530770640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28434 (or 28428 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 58.

The spelling of 476072530770640 in words is "four hundred seventy-six trillion, seventy-two billion, five hundred thirty million, seven hundred seventy thousand, six hundred forty".