460120006764 has 144 divisors (see below), whose sum is σ = 1320646588800. Its totient is φ = 138426662880.

The previous prime is 460120006751. The next prime is 460120006777. The reversal of 460120006764 is 467600021064.

460120006764 is a `hidden beast` number, since 460 + 120 + 0 + 0 + 6 + 76 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (460120006751) and next prime (460120006777).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1689799 + ... + 1943105.

Almost surely, 2^460120006764 is an apocalyptic number.

460120006764 is a gapful number since it is divisible by the number (44) 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 460120006764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660323294400).

460120006764 is an abundant number, since it is smaller than the sum of its proper divisors (860526582036).

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

460120006764 is a wasteful number, since it uses less digits than its factorization.

460120006764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253481 (or 253462 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 460120006764 in words is "four hundred sixty billion, one hundred twenty million, six thousand, seven hundred sixty-four".