464033216640 has 256 divisors, whose sum is σ = 1744937533440. Its totient is φ = 102643200000.

The previous prime is 464033216593. The next prime is 464033216657. The reversal of 464033216640 is 46612330464.

It is a super-2 number, since 2×464033216640² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140236 + ... + 973515.

It is an arithmetic number, because the mean of its divisors is an integer number (6816162240).

Almost surely, 2^464033216640 is an apocalyptic number.

464033216640 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 464033216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872468766720).

464033216640 is an abundant number, since it is smaller than the sum of its proper divisors (1280904316800).

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

464033216640 is a wasteful number, since it uses less digits than its factorization.

464033216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113811 (or 1113799 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 464033216640 in words is "four hundred sixty-four billion, thirty-three million, two hundred sixteen thousand, six hundred forty".