649218240000 has 2100 divisors, whose sum is σ = 2787466856328. Its totient is φ = 150543360000.

The previous prime is 649218239981. The next prime is 649218240049. The reversal of 649218240000 is 42812946.

649218240000 is a `hidden beast` number, since 649 + 2 + 1 + 8 + 2 + 4 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 28226879989 + ... + 28226880011.

Almost surely, 2^649218240000 is an apocalyptic number.

649218240000 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 649218240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393733428164).

649218240000 is an abundant number, since it is smaller than the sum of its proper divisors (2138248616328).

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

649218240000 is an frugal number, since it uses more digits than its factorization.

649218240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 649218240000 in words is "six hundred forty-nine billion, two hundred eighteen million, two hundred forty thousand".