464987727646848 has 1280 divisors, whose sum is σ = 1753562402634240. Its totient is φ = 119174576209920.

The previous prime is 464987727646801. The next prime is 464987727646861. The reversal of 464987727646848 is 848646727789464.

464987727646848 is a `hidden beast` number, since 4 + 6 + 4 + 9 + 8 + 7 + 72 + 76 + 468 + 4 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7973968540 + ... + 7974026852.

It is an arithmetic number, because the mean of its divisors is an integer number (1369970627058).

Almost surely, 2^{464987727646848} is an apocalyptic number.

464987727646848 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 464987727646848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876781201317120).

464987727646848 is an abundant number, since it is smaller than the sum of its proper divisors (1288574674987392).

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

464987727646848 is a wasteful number, since it uses less digits than its factorization.

464987727646848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58667 (or 58646 counting only the distinct ones).

The product of its digits is 174795522048, while the sum is 90.

The spelling of 464987727646848 in words is "four hundred sixty-four trillion, nine hundred eighty-seven billion, seven hundred twenty-seven million, six hundred forty-six thousand, eight hundred forty-eight".