648751680 has 280 divisors, whose sum is σ = 2339717952. Its totient is φ = 171320832.

The previous prime is 648751679. The next prime is 648751703. The reversal of 648751680 is 86157846.

It is a happy number.

648751680 is a `hidden beast` number, since 6 + 487 + 5 + 168 + 0 = 666.

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 39 ways as a sum of consecutive naturals, for example, 6298509 + ... + 6298611.

Almost surely, 2^648751680 is an apocalyptic number.

648751680 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 648751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169858976).

648751680 is an abundant number, since it is smaller than the sum of its proper divisors (1690966272).

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

648751680 is an frugal number, since it uses more digits than its factorization.

648751680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 648751680 is about 25470.6042331155. The cubic root of 648751680 is about 865.6842147887.

The spelling of 648751680 in words is "six hundred forty-eight million, seven hundred fifty-one thousand, six hundred eighty".