464233059644640 has 1536 divisors, whose sum is σ = 1848902682654720. Its totient is φ = 96179925811200.

The previous prime is 464233059644491. The next prime is 464233059644671. The reversal of 464233059644640 is 46446950332464.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 20458895695 + ... + 20458918385.

It is an arithmetic number, because the mean of its divisors is an integer number (1203712684020).

Almost surely, 2^{464233059644640} is an apocalyptic number.

464233059644640 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 464233059644640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924451341327360).

464233059644640 is an abundant number, since it is smaller than the sum of its proper divisors (1384669623010080).

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

464233059644640 is a wasteful number, since it uses less digits than its factorization.

464233059644640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23036 (or 23028 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 60.

The spelling of 464233059644640 in words is "four hundred sixty-four trillion, two hundred thirty-three billion, fifty-nine million, six hundred forty-four thousand, six hundred forty".