464295089664 has 400 divisors, whose sum is σ = 1586355395328. Its totient is φ = 132439339008.

The previous prime is 464295089591. The next prime is 464295089677. The reversal of 464295089664 is 466980592464.

464295089664 is a `hidden beast` number, since 4 + 64 + 2 + 9 + 508 + 9 + 6 + 64 = 666.

It is a super-3 number, since 3×464295089664³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 285368019 + ... + 285369645.

Almost surely, 2^464295089664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464295089664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793177697664).

464295089664 is an abundant number, since it is smaller than the sum of its proper divisors (1122060305664).

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

464295089664 is an equidigital number, since it uses as much as digits as its factorization.

464295089664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 464295089664 in words is "four hundred sixty-four billion, two hundred ninety-five million, eighty-nine thousand, six hundred sixty-four".