649006992000 has 320 divisors, whose sum is σ = 2410434809640. Its totient is φ = 173068185600.

The previous prime is 649006991999. The next prime is 649006992017. The reversal of 649006992000 is 299600946.

It can be written as a sum of positive squares in 4 ways, for example, as 79537536576 + 569469455424 = 282024^2 + 754632^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1045612 + ... + 1546388.

Almost surely, 2^649006992000 is an apocalyptic number.

649006992000 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 649006992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205217404820).

649006992000 is an abundant number, since it is smaller than the sum of its proper divisors (1761427817640).

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

649006992000 is an equidigital number, since it uses as much as digits as its factorization.

649006992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500818 (or 500787 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 649006992000 in words is "six hundred forty-nine billion, six million, nine hundred ninety-two thousand".