649880098560 has 1152 divisors, whose sum is σ = 2904366366720. Its totient is φ = 133672550400.

The previous prime is 649880098541. The next prime is 649880098561. The reversal of 649880098560 is 65890088946.

649880098560 is a `hidden beast` number, since 6 + 498 + 8 + 0 + 0 + 9 + 85 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649880098561) 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, 274094175 + ... + 274096545.

It is an arithmetic number, because the mean of its divisors is an integer number (2521151360).

Almost surely, 2^649880098560 is an apocalyptic number.

649880098560 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 649880098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452183183360).

649880098560 is an abundant number, since it is smaller than the sum of its proper divisors (2254486268160).

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

649880098560 is a wasteful number, since it uses less digits than its factorization.

649880098560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 649880098560 in words is "six hundred forty-nine billion, eight hundred eighty million, ninety-eight thousand, five hundred sixty".