464068800000 has 1440 divisors, whose sum is σ = 1879194661344. Its totient is φ = 109486080000.

The previous prime is 464068799993. The next prime is 464068800011. The reversal of 464068800000 is 8860464.

464068800000 is a `hidden beast` number, since 4 + 640 + 6 + 8 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×464068800000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6926399967 + ... + 6926400033.

Almost surely, 2^464068800000 is an apocalyptic number.

464068800000 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 464068800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939597330672).

464068800000 is an abundant number, since it is smaller than the sum of its proper divisors (1415125861344).

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

464068800000 is an equidigital number, since it uses as much as digits as its factorization.

464068800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 464068800000 in words is "four hundred sixty-four billion, sixty-eight million, eight hundred thousand".