464999253768 has 576 divisors, whose sum is σ = 1577372160000. Its totient is φ = 125583488640.

The previous prime is 464999253671. The next prime is 464999253779. The reversal of 464999253768 is 867352999464.

464999253768 is a `hidden beast` number, since 46 + 49 + 9 + 9 + 2 + 537 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 464999253696 and 464999253705.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 931861983 + ... + 931862481.

Almost surely, 2^464999253768 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 464999253768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788686080000).

464999253768 is an abundant number, since it is smaller than the sum of its proper divisors (1112372906232).

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

464999253768 is a wasteful number, since it uses less digits than its factorization.

464999253768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 589 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 464999253768 in words is "four hundred sixty-four billion, nine hundred ninety-nine million, two hundred fifty-three thousand, seven hundred sixty-eight".