648342618000 has 1920 divisors, whose sum is σ = 2845257891840. Its totient is φ = 125314560000.

The previous prime is 648342617981. The next prime is 648342618019. The reversal of 648342618000 is 816243846.

It is an interprime number because it is at equal distance from previous prime (648342617981) and next prime (648342618019).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2907365889 + ... + 2907366111.

It is an arithmetic number, because the mean of its divisors is an integer number (1481905152).

Almost surely, 2^648342618000 is an apocalyptic number.

648342618000 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 648342618000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422628945920).

648342618000 is an abundant number, since it is smaller than the sum of its proper divisors (2196915273840).

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

648342618000 is a wasteful number, since it uses less digits than its factorization.

648342618000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 648342618000 in words is "six hundred forty-eight billion, three hundred forty-two million, six hundred eighteen thousand".