462741722640 has 320 divisors, whose sum is σ = 1616260838400. Its totient is φ = 121670055936.

The previous prime is 462741722629. The next prime is 462741722689. The reversal of 462741722640 is 46227147264.

462741722640 is a `hidden beast` number, since 4 + 6 + 2 + 7 + 417 + 226 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172856982 + ... + 172859658.

It is an arithmetic number, because the mean of its divisors is an integer number (5050815120).

Almost surely, 2^462741722640 is an apocalyptic number.

462741722640 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 462741722640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808130419200).

462741722640 is an abundant number, since it is smaller than the sum of its proper divisors (1153519115760).

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

462741722640 is a wasteful number, since it uses less digits than its factorization.

462741722640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3791 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 462741722640 in words is "four hundred sixty-two billion, seven hundred forty-one million, seven hundred twenty-two thousand, six hundred forty".