464189456640 has 1152 divisors, whose sum is σ = 1912534106112. Its totient is φ = 93321953280.

The previous prime is 464189456617. The next prime is 464189456683. The reversal of 464189456640 is 46654981464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 790782427 + ... + 790783013.

It is an arithmetic number, because the mean of its divisors is an integer number (1660185856).

Almost surely, 2^464189456640 is an apocalyptic number.

464189456640 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 464189456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956267053056).

464189456640 is an abundant number, since it is smaller than the sum of its proper divisors (1448344649472).

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

464189456640 is a wasteful number, since it uses less digits than its factorization.

464189456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 464189456640 in words is "four hundred sixty-four billion, one hundred eighty-nine million, four hundred fifty-six thousand, six hundred forty".