464776632960 has 256 divisors, whose sum is σ = 1517872608000. Its totient is φ = 120931614720.

The previous prime is 464776632953. The next prime is 464776632961. The reversal of 464776632960 is 69236677464.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 464776632894 and 464776632903.

It is not an unprimeable number, because it can be changed into a prime (464776632961) 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 31 ways as a sum of consecutive naturals, for example, 13205466 + ... + 13240614.

It is an arithmetic number, because the mean of its divisors is an integer number (5929189875).

Almost surely, 2^464776632960 is an apocalyptic number.

464776632960 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 464776632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758936304000).

464776632960 is an abundant number, since it is smaller than the sum of its proper divisors (1053095975040).

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

464776632960 is a wasteful number, since it uses less digits than its factorization.

464776632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35339 (or 35327 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 60.

The spelling of 464776632960 in words is "four hundred sixty-four billion, seven hundred seventy-six million, six hundred thirty-two thousand, nine hundred sixty".