1649013542640 has 480 divisors, whose sum is σ = 5658760673280. Its totient is φ = 430284589056.

The previous prime is 1649013542633. The next prime is 1649013542641. The reversal of 1649013542640 is 462453109461.

1649013542640 is a `hidden beast` number, since 1 + 6 + 4 + 90 + 13 + 542 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1649013542641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2716661217 + ... + 2716661823.

It is an arithmetic number, because the mean of its divisors is an integer number (11789084736).

Almost surely, 2^{1649013542640} is an apocalyptic number.

1649013542640 is a gapful number since it is divisible by the number (10) 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 1649013542640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829380336640).

1649013542640 is an abundant number, since it is smaller than the sum of its proper divisors (4009747130640).

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

1649013542640 is a wasteful number, since it uses less digits than its factorization.

1649013542640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1649013542640 in words is "one trillion, six hundred forty-nine billion, thirteen million, five hundred forty-two thousand, six hundred forty".