649535927040 has 3456 divisors, whose sum is σ = 3291288698880. Its totient is φ = 113865523200.

The previous prime is 649535927021. The next prime is 649535927041. The reversal of 649535927040 is 40729535946.

649535927040 is a `hidden beast` number, since 6 + 4 + 9 + 5 + 3 + 592 + 7 + 0 + 40 = 666.

649535927040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (649535927041) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8221973721 + ... + 8221973799.

It is an arithmetic number, because the mean of its divisors is an integer number (952340480).

Almost surely, 2^649535927040 is an apocalyptic number.

649535927040 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 649535927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645644349440).

649535927040 is an abundant number, since it is smaller than the sum of its proper divisors (2641752771840).

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

649535927040 is a wasteful number, since it uses less digits than its factorization.

649535927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 649535927040 in words is "six hundred forty-nine billion, five hundred thirty-five million, nine hundred twenty-seven thousand, forty".