464073361920 has 960 divisors, whose sum is σ = 1876039925760. Its totient is φ = 103840579584.

The previous prime is 464073361897. The next prime is 464073361931. The reversal of 464073361920 is 29163370464.

464073361920 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 7 + 3 + 3 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 2847075759 + ... + 2847075921.

It is an arithmetic number, because the mean of its divisors is an integer number (1954208256).

Almost surely, 2^464073361920 is an apocalyptic number.

464073361920 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 464073361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938019962880).

464073361920 is an abundant number, since it is smaller than the sum of its proper divisors (1411966563840).

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

464073361920 is a wasteful number, since it uses less digits than its factorization.

464073361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 464073361920 in words is "four hundred sixty-four billion, seventy-three million, three hundred sixty-one thousand, nine hundred twenty".