482507008731072 has 672 divisors, whose sum is σ = 1607047514392320. Its totient is φ = 137139795394560.

The previous prime is 482507008731047. The next prime is 482507008731113. The reversal of 482507008731072 is 270137800705284.

482507008731072 is a `hidden beast` number, since 4 + 8 + 250 + 7 + 0 + 0 + 8 + 7 + 310 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3529842247 + ... + 3529978937.

It is an arithmetic number, because the mean of its divisors is an integer number (2391439753560).

Almost surely, 2^{482507008731072} 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 482507008731072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803523757196160).

482507008731072 is an abundant number, since it is smaller than the sum of its proper divisors (1124540505661248).

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

482507008731072 is a wasteful number, since it uses less digits than its factorization.

482507008731072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137361 (or 137348 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 482507008731072 in words is "four hundred eighty-two trillion, five hundred seven billion, eight million, seven hundred thirty-one thousand, seventy-two".