1649935872000 has 832 divisors, whose sum is σ = 6570324808320. Its totient is φ = 406093824000.

The previous prime is 1649935871999. The next prime is 1649935872031. The reversal of 1649935872000 is 2785399461.

1649935872000 is a `hidden beast` number, since 16 + 49 + 9 + 3 + 587 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179707410 + ... + 179716590.

It is an arithmetic number, because the mean of its divisors is an integer number (7897025010).

It is a 1-persistent number, because it is pandigital, but 2⋅1649935872000 = 3299871744000 is not.

Almost surely, 2^{1649935872000} is an apocalyptic number.

1649935872000 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 1649935872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285162404160).

1649935872000 is an abundant number, since it is smaller than the sum of its proper divisors (4920388936320).

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

1649935872000 is an equidigital number, since it uses as much as digits as its factorization.

1649935872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9242 (or 9204 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1649935872000 in words is "one trillion, six hundred forty-nine billion, nine hundred thirty-five million, eight hundred seventy-two thousand".