465745904640 has 880 divisors, whose sum is σ = 1825005371904. Its totient is φ = 113069260800.

The previous prime is 465745904627. The next prime is 465745904677. The reversal of 465745904640 is 46409547564.

465745904640 is a `hidden beast` number, since 4 + 6 + 5 + 7 + 4 + 590 + 4 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 218556375 + ... + 218558505.

Almost surely, 2^465745904640 is an apocalyptic number.

465745904640 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 465745904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912502685952).

465745904640 is an abundant number, since it is smaller than the sum of its proper divisors (1359259467264).

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

465745904640 is a wasteful number, since it uses less digits than its factorization.

465745904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 465745904640 in words is "four hundred sixty-five billion, seven hundred forty-five million, nine hundred four thousand, six hundred forty".