649579668480 has 528 divisors, whose sum is σ = 2378420501184. Its totient is φ = 169935667200.

The previous prime is 649579668449. The next prime is 649579668497. The reversal of 649579668480 is 84866975946.

649579668480 is a `hidden beast` number, since 6 + 4 + 9 + 57 + 96 + 6 + 8 + 480 = 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 = 649579668399 and 649579668408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65935555 + ... + 65945405.

Almost surely, 2^649579668480 is an apocalyptic number.

649579668480 is a gapful number since it is divisible by the number (60) 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 649579668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189210250592).

649579668480 is an abundant number, since it is smaller than the sum of its proper divisors (1728840832704).

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

649579668480 is an equidigital number, since it uses as much as digits as its factorization.

649579668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9944 (or 9914 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 649579668480 in words is "six hundred forty-nine billion, five hundred seventy-nine million, six hundred sixty-eight thousand, four hundred eighty".