480657367008 has 504 divisors, whose sum is σ = 1755901194768. Its totient is φ = 126759499776.

The previous prime is 480657366877. The next prime is 480657367009. The reversal of 480657367008 is 800763756084.

480657367008 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 573 + 67 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×480657367008³ (a number of 36 digits) contains 333 as substring.

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 (480657367009) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 27588316 + ... + 27605732.

It is an arithmetic number, because the mean of its divisors is an integer number (3483930942).

Almost surely, 2^480657367008 is an apocalyptic number.

480657367008 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 480657367008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877950597384).

480657367008 is an abundant number, since it is smaller than the sum of its proper divisors (1275243827760).

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

480657367008 is a wasteful number, since it uses less digits than its factorization.

480657367008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17478 (or 17442 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 480657367008 in words is "four hundred eighty billion, six hundred fifty-seven million, three hundred sixty-seven thousand, eight".