649090078560 has 960 divisors, whose sum is σ = 2903088190464. Its totient is φ = 132652339200.

The previous prime is 649090078517. The next prime is 649090078573. The reversal of 649090078560 is 65870090946.

649090078560 is a `hidden beast` number, since 6 + 4 + 9 + 0 + 9 + 0 + 0 + 78 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 649090078497 and 649090078506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 60867789 + ... + 60878451.

Almost surely, 2^649090078560 is an apocalyptic number.

649090078560 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 649090078560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451544095232).

649090078560 is an abundant number, since it is smaller than the sum of its proper divisors (2253998111904).

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

649090078560 is a wasteful number, since it uses less digits than its factorization.

649090078560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10769 (or 10752 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 649090078560 in words is "six hundred forty-nine billion, ninety million, seventy-eight thousand, five hundred sixty".