649578424320 has 1344 divisors, whose sum is σ = 2763702789120. Its totient is φ = 143327232000.

The previous prime is 649578424291. The next prime is 649578424349. The reversal of 649578424320 is 23424875946.

It is a happy number.

649578424320 is a `hidden beast` number, since 6 + 4 + 9 + 578 + 4 + 2 + 43 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (649578424291) and next prime (649578424349).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1619896120 + ... + 1619896520.

It is an arithmetic number, because the mean of its divisors is an integer number (2056326480).

Almost surely, 2^649578424320 is an apocalyptic number.

649578424320 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 649578424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381851394560).

649578424320 is an abundant number, since it is smaller than the sum of its proper divisors (2114124364800).

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

649578424320 is an equidigital number, since it uses as much as digits as its factorization.

649578424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 649578424320 in words is "six hundred forty-nine billion, five hundred seventy-eight million, four hundred twenty-four thousand, three hundred twenty".