1648002540960 has 144 divisors (see below), whose sum is σ = 5919798699360. Its totient is φ = 416337477120.

The previous prime is 1648002540953. The next prime is 1648002541067. The reversal of 1648002540960 is 690452008461.

1648002540960 is a `hidden beast` number, since 1 + 6 + 48 + 0 + 0 + 2 + 540 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 30089646 + ... + 30144365.

It is an arithmetic number, because the mean of its divisors is an integer number (41109713190).

Almost surely, 2^{1648002540960} is an apocalyptic number.

1648002540960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1648002540960 is an abundant number, since it is smaller than the sum of its proper divisors (4271796158400).

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

1648002540960 is a wasteful number, since it uses less digits than its factorization.

1648002540960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60234051 (or 60234040 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1648002540960 in words is "one trillion, six hundred forty-eight billion, two million, five hundred forty thousand, nine hundred sixty".