464267456640 has 384 divisors, whose sum is σ = 1728381170880. Its totient is φ = 114156380160.

The previous prime is 464267456603. The next prime is 464267456657. The reversal of 464267456640 is 46654762464.

464267456640 is a `hidden beast` number, since 4 + 6 + 4 + 2 + 6 + 74 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81691239 + ... + 81696921.

Almost surely, 2^464267456640 is an apocalyptic number.

464267456640 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 464267456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864190585440).

464267456640 is an abundant number, since it is smaller than the sum of its proper divisors (1264113714240).

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

464267456640 is a wasteful number, since it uses less digits than its factorization.

464267456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6812 (or 6797 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 464267456640 in words is "four hundred sixty-four billion, two hundred sixty-seven million, four hundred fifty-six thousand, six hundred forty".