649716480 has 324 divisors, whose sum is σ = 2617235712. Its totient is φ = 148377600.

The previous prime is 649716467. The next prime is 649716499. The reversal of 649716480 is 84617946.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 563905 + ... + 565055.

It is an arithmetic number, because the mean of its divisors is an integer number (8077888).

Almost surely, 2^649716480 is an apocalyptic number.

649716480 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 649716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308617856).

649716480 is an abundant number, since it is smaller than the sum of its proper divisors (1967519232).

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

649716480 is a wasteful number, since it uses less digits than its factorization.

649716480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 649716480 is about 25489.5366768406. The cubic root of 649716480 is about 866.1131403008.

The spelling of 649716480 in words is "six hundred forty-nine million, seven hundred sixteen thousand, four hundred eighty".