464702267568 has 1440 divisors, whose sum is σ = 1765063028736. Its totient is φ = 102592512000.

The previous prime is 464702267479. The next prime is 464702267569. The reversal of 464702267568 is 865762207464.

It is not an unprimeable number, because it can be changed into a prime (464702267569) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 11334201628 + ... + 11334201668.

Almost surely, 2^464702267568 is an apocalyptic number.

464702267568 is a gapful number since it is divisible by the number (48) 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 464702267568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882531514368).

464702267568 is an abundant number, since it is smaller than the sum of its proper divisors (1300360761168).

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

464702267568 is a wasteful number, since it uses less digits than its factorization.

464702267568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 57.

The spelling of 464702267568 in words is "four hundred sixty-four billion, seven hundred two million, two hundred sixty-seven thousand, five hundred sixty-eight".