480185072640 has 2816 divisors, whose sum is σ = 2310981120000. Its totient is φ = 93640458240.

The previous prime is 480185072629. The next prime is 480185072663. The reversal of 480185072640 is 46270581084.

480185072640 is a `hidden beast` number, since 4 + 80 + 1 + 8 + 507 + 2 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11711831020 + ... + 11711831060.

Almost surely, 2^480185072640 is an apocalyptic number.

480185072640 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 480185072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155490560000).

480185072640 is an abundant number, since it is smaller than the sum of its proper divisors (1830796047360).

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

480185072640 is a wasteful number, since it uses less digits than its factorization.

480185072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 480185072640 in words is "four hundred eighty billion, one hundred eighty-five million, seventy-two thousand, six hundred forty".