649724737536 has 1536 divisors, whose sum is σ = 2506658918400. Its totient is φ = 163966353408.

The previous prime is 649724737471. The next prime is 649724737537. The reversal of 649724737536 is 635737427946.

It is a happy number.

649724737536 is a `hidden beast` number, since 6 + 4 + 9 + 7 + 24 + 73 + 7 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (160030080) is a multiple of the sum of its prime divisors (105).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649724737537) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12258957286 + ... + 12258957338.

It is an arithmetic number, because the mean of its divisors is an integer number (1631939400).

Almost surely, 2^649724737536 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 649724737536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253329459200).

649724737536 is an abundant number, since it is smaller than the sum of its proper divisors (1856934180864).

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

649724737536 is an equidigital number, since it uses as much as digits as its factorization.

649724737536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 105 counting only the distinct ones).

The product of its digits is 160030080, while the sum is 63.

The spelling of 649724737536 in words is "six hundred forty-nine billion, seven hundred twenty-four million, seven hundred thirty-seven thousand, five hundred thirty-six".