648380700 has 360 divisors, whose sum is σ = 2419845120. Its totient is φ = 148521600.

The previous prime is 648380699. The next prime is 648380737. The reversal of 648380700 is 7083846.

648380700 is a `hidden beast` number, since 648 + 3 + 8 + 0 + 7 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1692709 + ... + 1693091.

It is an arithmetic number, because the mean of its divisors is an integer number (6721792).

Almost surely, 2^648380700 is an apocalyptic number.

648380700 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 648380700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209922560).

648380700 is an abundant number, since it is smaller than the sum of its proper divisors (1771464420).

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

648380700 is a wasteful number, since it uses less digits than its factorization.

648380700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 648380700 is about 25463.3206789688. The cubic root of 648380700 is about 865.5191733330.

The spelling of 648380700 in words is "six hundred forty-eight million, three hundred eighty thousand, seven hundred".