464968220640 has 768 divisors, whose sum is σ = 1889385523200. Its totient is φ = 95266160640.

The previous prime is 464968220627. The next prime is 464968220653. The reversal of 464968220640 is 46022869464.

It is an interprime number because it is at equal distance from previous prime (464968220627) and next prime (464968220653).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 132204162 + ... + 132207678.

It is an arithmetic number, because the mean of its divisors is an integer number (2460137400).

Almost surely, 2^464968220640 is an apocalyptic number.

464968220640 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 464968220640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944692761600).

464968220640 is an abundant number, since it is smaller than the sum of its proper divisors (1424417302560).

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

464968220640 is a wasteful number, since it uses less digits than its factorization.

464968220640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 464968220640 in words is "four hundred sixty-four billion, nine hundred sixty-eight million, two hundred twenty thousand, six hundred forty".