648137700 has 540 divisors, whose sum is σ = 2586209472. Its totient is φ = 139708800.

The previous prime is 648137669. The next prime is 648137701. The reversal of 648137700 is 7731846.

648137700 is a `hidden beast` number, since 648 + 1 + 3 + 7 + 7 + 0 + 0 = 666.

648137700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×648137700² = 840164956322580000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648137701) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 9128665 + ... + 9128735.

Almost surely, 2^648137700 is an apocalyptic number.

648137700 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 648137700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293104736).

648137700 is an abundant number, since it is smaller than the sum of its proper divisors (1938071772).

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

648137700 is a wasteful number, since it uses less digits than its factorization.

648137700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 648137700 is about 25458.5486624827. The cubic root of 648137700 is about 865.4110334499.

The spelling of 648137700 in words is "six hundred forty-eight million, one hundred thirty-seven thousand, seven hundred".