649036800000 has 840 divisors, whose sum is σ = 2431311972012. Its totient is φ = 172523520000.

The previous prime is 649036799951. The next prime is 649036800029. The reversal of 649036800000 is 8630946.

649036800000 is a `hidden beast` number, since 649 + 0 + 3 + 6 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 274140205056 + 374896594944 = 523584^2 + 612288^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2073599844 + ... + 2073600156.

Almost surely, 2^649036800000 is an apocalyptic number.

649036800000 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 649036800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215655986006).

649036800000 is an abundant number, since it is smaller than the sum of its proper divisors (1782275172012).

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

649036800000 is an frugal number, since it uses more digits than its factorization.

649036800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 649036800000 in words is "six hundred forty-nine billion, thirty-six million, eight hundred thousand".