648158240400 has 480 divisors, whose sum is σ = 2387622182400. Its totient is φ = 148647628800.

The previous prime is 648158240383. The next prime is 648158240417. The reversal of 648158240400 is 4042851846.

It is an interprime number because it is at equal distance from previous prime (648158240383) and next prime (648158240417).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237506236 + ... + 237508964.

It is an arithmetic number, because the mean of its divisors is an integer number (4974212880).

Almost surely, 2^648158240400 is an apocalyptic number.

648158240400 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 648158240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193811091200).

648158240400 is an abundant number, since it is smaller than the sum of its proper divisors (1739463942000).

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

648158240400 is a wasteful number, since it uses less digits than its factorization.

648158240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 648158240400 in words is "six hundred forty-eight billion, one hundred fifty-eight million, two hundred forty thousand, four hundred".