1648533720960 has 640 divisors, whose sum is σ = 6781409648640. Its totient is φ = 373830266880.

The previous prime is 1648533720959. The next prime is 1648533720961. The reversal of 1648533720960 is 690273358461.

1648533720960 is a `hidden beast` number, since 1 + 6 + 48 + 5 + 337 + 209 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1648533720959) and next prime (1648533720961).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 1648533720897 and 1648533720906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1648533720961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46067875 + ... + 46103645.

It is an arithmetic number, because the mean of its divisors is an integer number (10595952576).

It is a 1-persistent number, because it is pandigital, but 2⋅1648533720960 = 3297067441920 is not.

Almost surely, 2^{1648533720960} is an apocalyptic number.

1648533720960 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 1648533720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390704824320).

1648533720960 is an abundant number, since it is smaller than the sum of its proper divisors (5132875927680).

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

1648533720960 is a wasteful number, since it uses less digits than its factorization.

1648533720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35936 (or 35915 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 1648533720960 in words is "one trillion, six hundred forty-eight billion, five hundred thirty-three million, seven hundred twenty thousand, nine hundred sixty".