648373340160 has 1728 divisors, whose sum is σ = 2936629987200. Its totient is φ = 129185611776.

The previous prime is 648373340137. The next prime is 648373340161. The reversal of 648373340160 is 61043373846.

648373340160 is a `hidden beast` number, since 6 + 4 + 83 + 73 + 340 + 160 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (648373340161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2071480164 + ... + 2071480476.

It is an arithmetic number, because the mean of its divisors is an integer number (1699438650).

Almost surely, 2^648373340160 is an apocalyptic number.

648373340160 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 648373340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468314993600).

648373340160 is an abundant number, since it is smaller than the sum of its proper divisors (2288256647040).

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

648373340160 is a wasteful number, since it uses less digits than its factorization.

648373340160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 648373340160 in words is "six hundred forty-eight billion, three hundred seventy-three million, three hundred forty thousand, one hundred sixty".